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Edited By Ravindra Pindel | Updated on Feb 07, 2024 05:12 PM IST

The concepts studied in Triangles and Its Properties are highly useful in higher classes. So practising questions in NCERT and more is important. This is where the NCERT solutions for Class 7 Maths chapter 6 the Triangle and Its Properties are useful. In this chapter of NCERT, we will discuss triangles and its properties like medians and altitudes of a triangle, exterior angle of a triangle, angle sum property of a triangle, equilateral and isosceles triangles, the sum of the lengths of two sides of the triangle, right-angled triangles, and Pythagoras theorem.

This Story also Contains

- NCERT Solutions for Maths Chapter 6 The Triangle and its Properties Class 7- Important Formulae
- NCERT Solutions for Class 7 Maths Chapter 6 The Triangle and its Properties - Important Points
- NCERT Solutions for Class 7 Maths Chapter 6 The Triangle and its Properties
- NCERT Solutions for Class 7 Maths Chapter 6 Questions and Exercise
- NCERT Solutions for Maths Chapter 6 The Triangle and Its Properties class 7 Topic 6.1
- NCERT Solutions for Maths Chapter 6 The Triangle and Its Properties class 7 Topic 6.2
- NCERT Solutions for Maths Chapter 6 The Triangle and Its Properties class 7 Topic 6.3
- NCERT solutions for maths chapter 6 the triangle and its properties class 7 topic 6.4
- NCERT Solutions for Maths Chapter 6 The Triangle and Its Properties class 7 Topic 6.5
- NCERT Solutions for Maths Chapter 6 The Triangle and Its Properties class 7 Topic 6.6
- NCERT Solutions for Maths Chapter 6 The Triangle and Its Properties class 7 Topic 6.7
- NCERT Solutions for Class 7 Maths Chapter 6 The Triangle and Its Properties Topic 6.8
- NCERT Solutions for Class 7 Triangles and Its Properties Maths Chapter 6 Exercise 6.1
- NCERT Solutions for Class 7 Triangles and Its Properties Maths Chapter 6 Exercise 6.2
- NCERT Solutions for Class 7 Triangles and Its Properties Maths Chapter 6 Exercise 6.3
- NCERT Solutions for Class 7 Maths Chapter 6 The Triangle and Its Properties Exercise 6.4
- NCERT Solutions for Class 7 Maths Chapter 6 The Triangle and Its Properties Exercise 6.5
- The Triangle and Its Properties Class 6 Maths Chapter 6-Topics

There are a total of 5 exercises with 21 questions discussed in the CBSE NCERT solutions for Maths chapter 6 the Triangle and Its Properties class 7. Topic-wise questions are also discussed in the solutions of NCERT Solutions for Class 7. A tool like NCERT Solutions is extremely helpful for the students to understand the basics of each chapter and also help them to clear all their doubts easily. As mentioned in the NCERT Syllabus for Class 7 Maths, there are five exercises in this chapter.

Exterior Angle = Sum of two interior opposite angles.

Angle sum property for triangle: Sum of all three interior angles = 180°

Sum of any two sides > Third side.

Difference between any two sides < Third side.

Pythagoras property: a^{2} + b^{2} = c^{2}, Where c is hypotenuse.

**Median of a triangle:** A line that joins a vertex of a triangle to the midpoint of its opposite side.

A triangle has 3 medians

**Exterior Angle:** It is formed when a side of a triangle is produced.

Exterior Angle = Sum of two interior opposite angles.

**Angle sum property for triangle: **Sum of all three interior angles = 180°

Types of triangles:

**Equilateral Triangle:**

- All sides are equal.
- All angles are equal ( 60° ).

**Isosceles Triangle:**

- Two sides are equal.
- The angles opposite the equal sides are also equal.

**Scalene Triangle:**

- No sides are equal.
- No angles are equal.

Property of the length of the sides of a triangle:

Sum of any two sides > Third side.

Difference between any two sides < Third side.

**Pythagoras property:**

Square on the hypotenuse = Sum of the square on its legs.

a^{2} + b^{2} = c^{2}

It is useful to decide whether a triangle is right-angled or not.

Free download **NCERT Solutions for Class 7 Maths Chapter 6 The Triangle and its Properties PDF **for CBSE Exam.

** Q: 1 ** Write the six elements (i.e., the 3 sides and the 3 angles) of .

** Answer: ** The Triangle .

The Elements of the triangle are:

** Sides ** :

** Angles ** :

** 2. ** ** ** Write the:

(i) Side opposite to the vertex Q of

(ii) Angle opposite to the side LM of

(iii) Vertex opposite to the side RT of

** Answer: ** (i) The side opposite to the vertex Q of

(ii) Angle opposite to the side LM of

(iii) Vertex opposite to the side RT of = Vertex S.

** 3. ** Look at Fig and classify each of the triangles according to its

(a) SidesThe lengths of two sides of a triangle are 12 cm and 15 cm. Between what two measures should the length of the third side fall?

(b) Angles

** Answer: **** i) ** The triangle ABC

** Based on Side**: In Triangle ABC, Since two sides (BC and AC ) are equal (= 8 cm ) The given triangle is an **isosceles triangle**.

** Based on Angle: ** In Triangle ABC, Since all the triangles are less than 90 degrees, So the given triangle is ** Acute angled triangle. **

** ii) ** The Triangle PQR

** Based on Side ** : In Triangle PQR, All the sides are different so, The given triangle is a ** scalene triangle ** .

** Based on Angle: ** In Triangle PQR, Since angle QRP is a right angle, So the given triangle is ** Right-angled triangle. **

** iii) ** The Triangle LMN

** Based on Side ** : In Triangle LMN, Since two sides (MN and NL ) are equal (=7 cm ), The given triangle is an **isosceles triangle**.

** Based on Angle: ** In Triangle LMN, Since angle MNL is an Obtuse angle, So the given triangle is ** Obtuse angled triangle. **

** iv) ** The Triangle RST

**Based on Side ** : In Triangle RST, All the sides are equal (=5.2 cm) so, The given triangle is an ** Equilateral triangle**.

** Based on Angle: ** In Triangle RST, Since all the triangles are less than 90 degrees, So the given triangle is ** Acute angled triangle. **

** v) ** The triangle ABC

** Based on Side ** : In Triangle ABC, Since two sides (AB and BC ) are equal (= 3 cm ) The given triangle is an ** isosceles triangle**.

** Based on Angle: ** In Triangle ABC, Since angle ABC is greater than 90 degrees So the given triangle is ** Obtuse angled triangle. **

** vi) ** The Triangle PQR

**Based on Side ** : In Triangle PQR, Since two sides (PQ and QR ) are equal (= 6 cm ) The given triangle is an ** isosceles triangle ** .

** Based on Angle: ** In Triangle PQR, Since angle PQR is a right angle, So the given triangle is ** Right-angled triangle. **

** 1. ** How many medians can a triangle have?

** Answer: **In geometry, a median of a triangle is a line segment joining a vertex to the midpoint of the opposite side, thus bisecting that side. Every triangle has exactly **three medians**, one from each vertex.

** Answer: **Yes, The median always lies in the interior of the triangle.

As we can see in all three cases the median lies inside the triangle.

** 1. ** How many altitudes can a triangle have?

** Answer: ** Every triangle has three bases (any of its sides) and ** three altitudes ** (heights). Every altitude is the perpendicular segment from a vertex to its opposite side (or the extension of the opposite side.

** 2. ** Draw rough sketches of altitudes from A to for the following triangles (Fig ):

** Answer: ** altitudes from A to for the triangles are:

** Answer: ** No, the altitude of a triangle might lie outside the triangle. for example in the obtuse-angled triangle, we have to extend the base side for making altitude angle.

Altitudes

** 4. ** Can you think of a triangle in which two altitudes of the triangle are two of its sides?

** Answer: ** Yes, in a Right-angled triangle, the two altitudes of the sides are two sides as they make an angle of 90 degrees with one another.

** 5. ** Can the altitude and median be same for a triangle?

( **Hint ** : For Q.No. 4 and 5, investigate by drawing the altitudes for every type of triangle).

** Answer: **Yes, the altitude and median can be the same in a triangle. for example, consider an equilateral triangle, the median which divides the side in equal is also perpendicular to the side and hence the altitude and the median is the same.

** 1. ** ** ** Exterior angles can be formed for a triangle in many ways. Three of them are shown here (Fig )

There are three more ways of getting exterior angles. Try to produce those rough sketches.

** Answer: ** In a triangle, there are a total of six exterior angles

** Exterior Angles in a Triangle **

** 2. ** Are the exterior angles formed at each vertex of a triangle equal?

** Answer: ** No, The exterior angle formed at the vertices of a triangle are not equal. The exterior angle is equal to the sum of the two opposite interior angles.

** 3. ** What can you say about the sum of an exterior angle of a triangle and its adjacent interior angle?

** Answer: **As we can see they both angles forms a straight line, Hence the sum of an exterior angle of a triangle and its adjacent interior angle is always .

** 1. ** What can you say about each of the interior opposite angles, when the exterior angle is

(i) a right angle? (ii) an obtuse angle? (iii) an acute angle?

** Answer: **(i) a right angle

When the exterior angle is , the sum of opposite internal angles is

(ii) an obtuse angle

When the exterior angle is the obtuse angle, the opposite interior angles can be both acute, one right and one acute and one obtuse and one acute.

(iii) an acute angle?

When the exterior angle is an acute angle, both the internal angle has to be acute angles.

** 2. ** Can the exterior angle of a triangle be a straight angle?

** Answer: **No, the exterior angle of a triangle cannot be a straight angle because if the exterior angle is straight then there won't be any triangle left that would be a straight line. (imagine it visually).

** Answer: ** As we know that in a triangle, the exterior angle is equal to the sum of opposite interior angles.

So,

According to the question,

Hence the other interior angle is .

** Answer: ** As we know that in a triangle, the exterior angle is equal to the sum of opposite interior angles.

So,

Exterior Angle = + .

=

Hence the measure of the exterior is .

** 3. ** Is something wrong in this diagram (Fig )? Comment.

** Answer: ** Yes, The measure of the exterior angle is given wrong.

As we know that in a triangle, the exterior angle is equal to the sum of opposite interior angles.

So,

Exterior angle =

=

Hence the exterior angle should be equal be instead of .

**1. ** Two angles of a triangle are and . Find the third angle.

** Answer: ** Let the third angle be

Now, As we know the sum of internal angles of a triangle is 180. so,

Hence the Third angle is .

** Answer: ** Let the two same angles in triangle be .

Now, As we know the sum of internal angles of a triangle is 180. so,

.

Hence both other angles are each.

** Answer: ** Let the angles of the triangles be

So,

As we know the sum of internal angles of a triangle is 180. so,

Hence the angles of the triangles are .

On the Basis of sides, the triangle is isosceles triangle as two sides of the triangle are equal.

On the Basis of angle, the triangle is Right-Angled Triangle as it has one angle equal to 90 degrees.

** 1. ** Can you have a triangle with two right angles?

** Answer: ** No, we cannot have a triangle with two right angles. as the sum of the angles of a triangle is always 180 degrees, If there are two right angles then the sum would exceed 180 which is not possible.

** 2. ** Can you have a triangle with two obtuse angles?

** Answer: ** No, we can not have two obtuse angles in a triangle because the sum of angles of the triangle is always 180 degrees and if there are two obtuse angles in the triangle then the sum would be more than 180 degrees which are not possible.

** 3. ** Can you have a triangle with two acute angles?

** Answer: **Yes, of course! we can have a triangle with two acute angles. all the obtuse-angled triangles have two acute angles in them.

** 4. ** Can you have a triangle with all the three angles greater than ?

** Answer: ** No, we can not have a triangle with all the three angles greater than because then the sum of the angles of the triangles would be greater than 180 degree which is no possible.

** 5. ** Can you have a triangle with all the three angles equal to ?

** Answer: ** Yes, we can have a triangle with all the three angles equal to as the sum of the angles of the triangle would be exactly 180 degrees. such triangles are called equilateral triangles.

** 6. ** Can you have a triangle with all the three angles less than ?

** Answer: ** No, we can not have a triangle with all angles less than because then the sum of the angles would be less than 180 degrees which are also not possible.

The sum of angles of a triangle is exactly neither more than that nor less than that.

** 1. ** ** ** Find angle x in each figure:

** Answer: **As we know, in an isosceles triangle, two sides and the angles they make with the third side are equal.

and

the sum of angles of the triangle is equal to . So,

** i) **

** ii) **

** iii) **

** iv) **

** v) **

** vi) **

** vii) **

** viii) ** As we know, the exterior angle is equal to the sum of opposite internal angles in a triangle. So,

** ix) ** As we know when two lines are intersecting, the opposite angles are equal. So

** 2. ** Find angles x and y in each figure.

** Answer: ** **i) ** As we know, in an isosceles triangle, two sides and the angles they make with the third side are equal. So,

Now, As we know the sum of internal angles of a triangle is 180. so,

Hence, .

** ii) ** As we know, in an isosceles triangle, two sides and the angles they make with the third side are equal.

AND

the sum of internal angles of a triangle is 180. so,

Also,

.

Hence .

** iii) ** As we know when two lines are intersecting, the opposite angles are equal.

And

the sum of internal angles of a triangle is 180. so,

Now, As we know, the exterior angle is equal to the sum of opposite internal angles in a triangle

Hence .

** 1. ** Is the sum of any two angles of a triangle always greater than the third angle?

** Answer: ** No, we can not say that. because we can have triangles in which the sum of two angles is less than the third angle. For Example:

A triangle ABC with

** Q. Find the unknown length x in the following figures (Fig ): **

** Answer: ** As we know in a Right-angled Triangle: By Pythagoras Theorem,

So, using this theorem,

i)

.

ii)

iii)

iv)

v) in this question as we can see from the figure, it is making the right angle with the half-length of x, so

.

vi)

** 1. ** Which is the longest side in the triangle PQR, right-angled at P?

** Answer: **The hypotenuse is the longest side in a triangle. So when the right angle is at P, the Longest side would be QR.

** 2. ** Which is the longest side in the triangle ABC, right-angled at B?

** Answer: ** The hypotenuse is the longest side in a triangle. So when the right angle is at B, the Longest side would be AC.

** 3. ** Which is the longest side of a right triangle?

** Answer: **The hypotenuse is the longest side in a Right-angled triangle.

** Answer: **Baudhayan Theorem and Pythagoras theorem are basically the same. Baudhayan Theorem used geometry to intuitively prove the Pythagoras theorem.

** 1. ** In , D is the mid-point of .

is _________________.

PD is _________________.

Is ?

** Answer: ** is the Altitude of the triangle.

PD is the Mediun of the triangle.

No, . As QD = DR.

** 2. ** Draw rough sketches for the following:

(a) In , BE is a median.

(b) In , PQ and PR are altitudes of the triangle.

(c) In , YL is an altitude in the exterior of the triangle.

** Answer: **(a) In , BE is a median.

(b) In , PQ and PR are altitudes of the triangle.

(c) In , YL is an altitude in the exterior of the triangle.

** 3. ** ** ** Verify by drawing a diagram if the median and altitude of an isosceles triangle can be same.

** Answer: **Yes, it is very much possible that the median and altitude of an isosceles triangle is the same. for example, The given triangle has the same median and altitude.

** 1. ** Find the value of the unknown exterior angle x in the following diagrams:

** Answer: **As we know that the exterior angle is equal to the sum of the opposite internal angles. So,

** i) **

** ii) **

** iii) **

** iv) **

** v) **

** vi) **

** 2. ** Find the value of the unknown interior angle in the following figures:

** Answer: **As we know that the exterior angle is equal to the sum of the opposite internal angles. So,

** i) **

** ii) **

** iii) **

** iv) **

** v) **

** vi) **

** 1. ** ** ** Find the value of the unknown x in the following diagrams

** Answer: ** As we know that the sum of the internal angles of the triangle is equal to . So,

** i) **

** ii) **

** iii) **

** iv) **

** v) **

** vi) **

** 2. ** ** ** Find the values of the unknowns x and y in the following diagrams

** Answer: ** **i) ** As we know, the exterior angle is equal to the sum of opposite internal angles in a triangle.

Now, As we know the sum of internal angles of a triangle is 180. so,

Hence, .

** ii) ** As we know when two lines are intersecting, the opposite angles are equal. So

Now, As we know the sum of internal angles of a triangle is 180. so,

Hence, .

** iii) ** As we know, the exterior angle is equal to the sum of opposite internal angles in a triangle

Now, As we know the sum of internal angles of a triangle is 180. so,

Hence, .

** iv) **

As we know when two lines are intersecting, the opposite angles are equal. So

Now, As we know the sum of internal angles of a triangle is 180. so,

Hence,

** v) ** As we know when two lines are intersecting, the opposite angles are equal. So

Now, As we know the sum of internal angles of a triangle is 180. so,

Hence,

** vi) ** As we know when two lines are intersecting, the opposite angles are equal. So

Now, As we know the sum of internal angles of a triangle is 180. so,

Hence, .

** 1. ** ** ** Is it possible to have a triangle with the following sides?

(i) 2 cm, 3 cm, 5 cm (ii) 3 cm, 6 cm, 7 cm

(iii) 6 cm, 3 cm, 2 cm

** Answer: ** As we know, According to the Triangle inequality law, the sum of lengths of any two sides of a triangle would always greater than the length of the third side. So

Verifying this inequality by taking all possible combinations, we have,

(i) 2 cm, 3 cm, 5 cm

3 + 5 > 2 ----> True

2 + 5 > 3----> True

2 + 3 > 5 ---->False

Hence the triangle is not possible.

(ii) 3 cm, 6 cm, 7 cm

3 + 6 > 7 -----> True

3 + 7 > 6 ------>True

6 + 7 > 3 ------>True

Hence, The triangle is possible.

(iii) 6 cm, 3 cm, 2 cm

6 + 3 > 2 ------>True

6 + 2 > 3 ------> True

3 + 2 > 6 ------->False

Hence triangle is not possible.

** 2. ** Take any point O in the interior of a triangle PQR. Is

(i) ?

(ii) ?

(iii) ?

** Answer: **i) As POQ is a triangle, the sum of any two sides will always be greater than the third side. so

Yes, .

ii) As ROQ is a triangle, the sum of any two sides will always be greater than the third side. so

Yes,

iii) As ROQ is a triangle, the sum of any two sides will always be greater than the third side. so

Yes,

** 3. ** AM is a median of a triangle ABC.

Is ?

(Consider the sides of triangles and .)

** Answer: ** As we know that the sum of two sides of ANY triangle is always greater than the third side(Triangles Inequality Rule).

So,

In :

In :

Adding (1) and (2), we get

As we can see M is the point in line BC So, we can say

So our equation becomes

.

Hence it is a True statement.

** 4. ** ABCD is a quadrilateral.

Is ?

** Answer: **As we know that the sum of two sides of ANY triangle is always greater than the third side(Triangles Inequality Rule).

So,

In :

In :

Adding (1) and (2) we get,

Hence the given statement is True.

** 5. ** ABCD is quadrilateral. Is

?

** Answer: **Let the intersection point of the two diagonals be O.

As we know that the sum of two sides of ANY triangle is always greater than the third side(Triangles Inequality Rule).

So,

In :

In :

In :

In :

Now, Adding all four equations we, get

which can also be expressed as

Hence this is true.

** Answer: **Let ABC be a triangle with AB = 12cm and BC = 15cm

Now

As we know that the sum of two sides of ANY triangle is always greater than the third side(Triangles Inequality Rule).

AB + BC > CA

12 + 15 > CA

CA < 27......(1)

Also, in a similar way

AB + CA > BC

CA > BC - AB

CA > 15 - 12

CA > 3............(2)

Hence from (1) and (2), we can say that the length of third side of the triangle must be between 3cm to 27 cm.

** 1. ** PQR is a triangle, right-angled at P. If and , find QR.

** Answer: ** As we know,

In a Right-angled Triangle: By Pythagoras Theorem,

As PQR is a right-angled triangle with

Base = PQ = 10 cm.

Perpendicular = PR = 24 cm.

Hypotenuse = QR

So, By Pythagoras theorem,

Hence, Length od QR is 26 cm.

** 2. ** ABC is a triangle, right-angled at C. If and , find BC.

** Answer:** As we know,

In a Right-angled Triangle: By Pythagoras Theorem,

As ABC is a right-angled triangle with

Base = AC= 7 cm.

Perpendicular = BC

Hypotenuse = AB = 25 cm

So, By Pythagoras theorem,

Hence, Length od BC is 24 cm.

** Answer: **Here. As we can see, The ladder with wall forms a right-angled triangle with

the vertical height of the wall = perpendicular = 12 m

length of ladder = Hypotenuse = 15 m

Now, As we know

In a Right-angled Triangle: By Pythagoras Theorem,

Hence the distance of the foot of the ladder from the wall is 9 m.

** 4. ** Which of the following can be the sides of a right triangle?

(i) , , 6 cm.

(ii) 2 cm, 2 cm, 5 cm.

(iii) , 2cm,

In the case of right-angled triangles, identify the right angles.

** Answer: **As we know,

In a Right-angled Triangle: By Pythagoras Theorem,

(i) , , 6 cm.

As we know the hypotenuse is the longest side of the triangle, So

Hypotenuse = 6.5 cm

Verifying the Pythagoras theorem,

Hence it is a right-angled triangle.

The Right-angle lies on the opposite of the longest side (hypotenuse) So the right angle is at the place where 2.5 cm side and 6 cm side meet.

(ii) 2 cm, 2 cm, 5 cm.

As we know the hypotenuse is the longest side of the triangle, So

Hypotenuse = 5 cm

Verifying the Pythagoras theorem,

Hence it is Not a right-angled triangle.

(iii) , 2cm, .

As we know the hypotenuse is the longest side of the triangle, So

Hypotenuse = 2.5 cm

Verifying the Pythagoras theorem,

Hence it is a Right-angled triangle.

The right angle is the point where the base and perpendicular meet.

** Answer: **As we can see the tree makes a right angle with

Perpendicular = 5 m

Base = 12 m

As we know,

In a Right-angled Triangle: By Pythagoras Theorem,

Here, The Hypotenuse of the triangle was also a part of the tree originally, So

The Original height of the tree = height + hypotenuse

= 5 m + 13 m

= 18 m.

Hence the original height of the tree was 18 m.

** 6. ** Angles Q and R of a are and . Write which of the following is true:

(i)

(ii)

(iii)

** Answer: **As we know the sum of the angles of any triangle is always 180. So,

Now. Since PQR is a right-angled triangle with right angle at P. So

Hence option (ii) is correct.

** 7. ** Find the perimeter of the rectangle whose length is 40 cm and a diagonal is 41 cm.

** Answer: **As we can see in the rectangle,

By Pythagoras theorem,

Now as given in the question,

Diagonal = 41 cm.

Length = 40 cm.

So, Putting these value we get,

Hence the width of the rectangle is 9 cm.

So

The perimeter of the rectangle = 2 ( Length + Width )

= 2 ( 40 cm + 9 cm )

= 2 x 49 cm

= 98 cm

Hence the perimeter of the rectangle is 98 cm.

** 8. ** The diagonals of a rhombus measure 16 cm and 30 cm. Find its perimeter.

** Answer: **As we know that the diagonals of the rhombus are perpendicular to each other and intersect at a point which is mid of both the diagonal.

So. By Pythagoras Theorem we can say that

Hence Side of the rhombus is 17 cm.

So,

The Perimeter of the rhombus = 4 x 17 cm

= 68 cm.

Hence, the perimeter of the rhombus is 68 cm.

- Medians Of A Triangle
- Altitudes Of Triangle
- Exterior Angle Of A Triangles And Its Properties
- Angle Sum Property Of A Triangle
- Two Special Triangles: Equilateral And Isosceles
- Sum Of The Lengths Of Two Side Of Triangle
- Right-Angle Triangles And Pythagoras Property

Chapter No. | Chapter Name |

Chapter 1 | |

Chapter 2 | |

Chapter 3 | |

Chapter 4 | |

Chapter 5 | |

Chapter 6 | The Triangle and its Properties |

Chapter 7 | |

Chapter 8 | Comparing quantities |

Chapter 9 | |

Chapter 10 | |

Chapter 11 | |

Chapter 12 | |

Chapter 13 | |

Chapter 14 | |

Chapter 15 | Visualising Solid Shapes |

**Elements of a triangle ** - The six elements of a triangle are its three sides and the three angles.

**Median of a triangle- ** It is a line segment joining a vertex with the midpoint of its opposite side of the triangle. A triangle has three medians.

**The**** altitude of a triangle- ** It is a perpendicular line segment from a vertex to its opposite side of the triangle. A triangle has three altitudes.

**The**** angle sum property of a triangle- ** According to this the total measure of the three angles or the sum of all three angles of a triangle is 180° .

**Equilateral ** ** l triangle- ** It is a triangle with all sides are equal in length. In an equilateral triangle, all three angles have measure 60°.

**Isosceles triangle- ** It is a triangle is said to be an isosceles triangle if at least any two of its sides are equal in length.

Students can expect a similar type of questions discussed in the NCERT solutions for class 7 chapter 6 the triangle and its properties in exams.

**Also Check NCERT Books and NCERT Syllabus here:**

1. What is Triangle?

Triangle is a simple closed figure made up of three line segments. In NCERT solution for class 7 maths chapter 6, all the concepts and problems based on the triangle are discussed, practice them to command the concepts.

2. What is equilateral triangle?

A triangle in which all the three sides are equal is called an equilateral triangle. Practice NCERT solutions for class 7 maths chapter 6 to get command on the concepts related the equilateral triangle.

3. What are the topics are covered in NCERT book Class 7 Maths Chapter 6?

Here are the topics are covered in NCERT Class 7 Maths Chapter 6

- Medians Of A Triangle
- Altitudes Of Triangle
- Exterior Angle Of A Triangles And Its Properties
- Angle Sum Property Of A Triangle
- Two Special Triangles: Equilateral And Isosceles
- Sum Of The Lengths Of Two Side Of Triangle
- Right-Angle Triangles And Pythagoras Property

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Data are collected and examined to respond to questions, evaluate hypotheses or contradict theories. It is a tool for analyzing, transforming, modeling, and arranging data with useful knowledge, to assist in decision-making and methods, encompassing various strategies, and is used in different fields of business, research, and social science.

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Individuals who opt for a career as geothermal engineers are the professionals involved in the processing of geothermal energy. The responsibilities of geothermal engineers may vary depending on the workplace location. Those who work in fields design facilities to process and distribute geothermal energy. They oversee the functioning of machinery used in the field.

3 Jobs Available

If you are intrigued by the programming world and are interested in developing communications networks then a career as database architect may be a good option for you. Data architect roles and responsibilities include building design models for data communication networks. Wide Area Networks (WANs), local area networks (LANs), and intranets are included in the database networks. It is expected that database architects will have in-depth knowledge of a company's business to develop a network to fulfil the requirements of the organisation. Stay tuned as we look at the larger picture and give you more information on what is db architecture, why you should pursue database architecture, what to expect from such a degree and what your job opportunities will be after graduation. Here, we will be discussing how to become a data architect. Students can visit NIT Trichy, IIT Kharagpur, JMI New Delhi.

3 Jobs Available

Individuals who opt for a career as a remote sensing technician possess unique personalities. Remote sensing analysts seem to be rational human beings, they are strong, independent, persistent, sincere, realistic and resourceful. Some of them are analytical as well, which means they are intelligent, introspective and inquisitive.

Remote sensing scientists use remote sensing technology to support scientists in fields such as community planning, flight planning or the management of natural resources. Analysing data collected from aircraft, satellites or ground-based platforms using statistical analysis software, image analysis software or Geographic Information Systems (GIS) is a significant part of their work. Do you want to learn how to become remote sensing technician? There's no need to be concerned; we've devised a simple remote sensing technician career path for you. Scroll through the pages and read.

3 Jobs Available

Budget analysis, in a nutshell, entails thoroughly analyzing the details of a financial budget. The budget analysis aims to better understand and manage revenue. Budget analysts assist in the achievement of financial targets, the preservation of profitability, and the pursuit of long-term growth for a business. Budget analysts generally have a bachelor's degree in accounting, finance, economics, or a closely related field. Knowledge of Financial Management is of prime importance in this career.

4 Jobs Available

The invention of the database has given fresh breath to the people involved in the data analytics career path. Analysis refers to splitting up a whole into its individual components for individual analysis. Data analysis is a method through which raw data are processed and transformed into information that would be beneficial for user strategic thinking.

Data are collected and examined to respond to questions, evaluate hypotheses or contradict theories. It is a tool for analyzing, transforming, modeling, and arranging data with useful knowledge, to assist in decision-making and methods, encompassing various strategies, and is used in different fields of business, research, and social science.

3 Jobs Available

An underwriter is a person who assesses and evaluates the risk of insurance in his or her field like mortgage, loan, health policy, investment, and so on and so forth. The underwriter career path does involve risks as analysing the risks means finding out if there is a way for the insurance underwriter jobs to recover the money from its clients. If the risk turns out to be too much for the company then in the future it is an underwriter who will be held accountable for it. Therefore, one must carry out his or her job with a lot of attention and diligence.

3 Jobs Available

A Product Manager is a professional responsible for product planning and marketing. He or she manages the product throughout the Product Life Cycle, gathering and prioritising the product. A product manager job description includes defining the product vision and working closely with team members of other departments to deliver winning products.

3 Jobs Available

Individuals in the operations manager jobs are responsible for ensuring the efficiency of each department to acquire its optimal goal. They plan the use of resources and distribution of materials. The operations manager's job description includes managing budgets, negotiating contracts, and performing administrative tasks.

3 Jobs Available

Individuals who opt for a career as a stock analyst examine the company's investments makes decisions and keep track of financial securities. The nature of such investments will differ from one business to the next. Individuals in the stock analyst career use data mining to forecast a company's profits and revenues, advise clients on whether to buy or sell, participate in seminars, and discussing financial matters with executives and evaluate annual reports.

2 Jobs Available

A Researcher is a professional who is responsible for collecting data and information by reviewing the literature and conducting experiments and surveys. He or she uses various methodological processes to provide accurate data and information that is utilised by academicians and other industry professionals. Here, we will discuss what is a researcher, the researcher's salary, types of researchers.

2 Jobs Available

Welding Engineer Job Description: A Welding Engineer work involves managing welding projects and supervising welding teams. He or she is responsible for reviewing welding procedures, processes and documentation. A career as Welding Engineer involves conducting failure analyses and causes on welding issues.

5 Jobs Available

A career as Transportation Planner requires technical application of science and technology in engineering, particularly the concepts, equipment and technologies involved in the production of products and services. In fields like land use, infrastructure review, ecological standards and street design, he or she considers issues of health, environment and performance. A Transportation Planner assigns resources for implementing and designing programmes. He or she is responsible for assessing needs, preparing plans and forecasts and compliance with regulations.

3 Jobs Available

Individuals who opt for a career as an environmental engineer are construction professionals who utilise the skills and knowledge of biology, soil science, chemistry and the concept of engineering to design and develop projects that serve as solutions to various environmental problems.

2 Jobs Available

A Safety Manager is a professional responsible for employee’s safety at work. He or she plans, implements and oversees the company’s employee safety. A Safety Manager ensures compliance and adherence to Occupational Health and Safety (OHS) guidelines.

2 Jobs Available

A Conservation Architect is a professional responsible for conserving and restoring buildings or monuments having a historic value. He or she applies techniques to document and stabilise the object’s state without any further damage. A Conservation Architect restores the monuments and heritage buildings to bring them back to their original state.

2 Jobs Available

A Structural Engineer designs buildings, bridges, and other related structures. He or she analyzes the structures and makes sure the structures are strong enough to be used by the people. A career as a Structural Engineer requires working in the construction process. It comes under the civil engineering discipline. A Structure Engineer creates structural models with the help of computer-aided design software.

2 Jobs Available

**Highway Engineer Job Description: **A Highway Engineer is a civil engineer who specialises in planning and building thousands of miles of roads that support connectivity and allow transportation across the country. He or she ensures that traffic management schemes are effectively planned concerning economic sustainability and successful implementation.

2 Jobs Available

Are you searching for a Field Surveyor Job Description? A Field Surveyor is a professional responsible for conducting field surveys for various places or geographical conditions. He or she collects the required data and information as per the instructions given by senior officials.

2 Jobs Available

Orthotists and Prosthetists are professionals who provide aid to patients with disabilities. They fix them to artificial limbs (prosthetics) and help them to regain stability. There are times when people lose their limbs in an accident. In some other occasions, they are born without a limb or orthopaedic impairment. Orthotists and prosthetists play a crucial role in their lives with fixing them to assistive devices and provide mobility.

6 Jobs Available

A career in pathology in India is filled with several responsibilities as it is a medical branch and affects human lives. The demand for pathologists has been increasing over the past few years as people are getting more aware of different diseases. Not only that, but an increase in population and lifestyle changes have also contributed to the increase in a pathologist’s demand. The pathology careers provide an extremely huge number of opportunities and if you want to be a part of the medical field you can consider being a pathologist. If you want to know more about a career in pathology in India then continue reading this article.

5 Jobs Available

Gynaecology can be defined as the study of the female body. The job outlook for gynaecology is excellent since there is evergreen demand for one because of their responsibility of dealing with not only women’s health but also fertility and pregnancy issues. Although most women prefer to have a women obstetrician gynaecologist as their doctor, men also explore a career as a gynaecologist and there are ample amounts of male doctors in the field who are gynaecologists and aid women during delivery and childbirth.

4 Jobs Available

The audiologist career involves audiology professionals who are responsible to treat hearing loss and proactively preventing the relevant damage. Individuals who opt for a career as an audiologist use various testing strategies with the aim to determine if someone has a normal sensitivity to sounds or not. After the identification of hearing loss, a hearing doctor is required to determine which sections of the hearing are affected, to what extent they are affected, and where the wound causing the hearing loss is found. As soon as the hearing loss is identified, the patients are provided with recommendations for interventions and rehabilitation such as hearing aids, cochlear implants, and appropriate medical referrals. While audiology is a branch of science that studies and researches hearing, balance, and related disorders.

3 Jobs Available

An oncologist is a specialised doctor responsible for providing medical care to patients diagnosed with cancer. He or she uses several therapies to control the cancer and its effect on the human body such as chemotherapy, immunotherapy, radiation therapy and biopsy. An oncologist designs a treatment plan based on a pathology report after diagnosing the type of cancer and where it is spreading inside the body.

3 Jobs Available

Are you searching for an ‘Anatomist job description’? An Anatomist is a research professional who applies the laws of biological science to determine the ability of bodies of various living organisms including animals and humans to regenerate the damaged or destroyed organs. If you want to know what does an anatomist do, then read the entire article, where we will answer all your questions.

2 Jobs Available

For an individual who opts for a career as an actor, the primary responsibility is to completely speak to the character he or she is playing and to persuade the crowd that the character is genuine by connecting with them and bringing them into the story. This applies to significant roles and littler parts, as all roles join to make an effective creation. Here in this article, we will discuss how to become an actor in India, actor exams, actor salary in India, and actor jobs.

4 Jobs Available

Individuals who opt for a career as acrobats create and direct original routines for themselves, in addition to developing interpretations of existing routines. The work of circus acrobats can be seen in a variety of performance settings, including circus, reality shows, sports events like the Olympics, movies and commercials. Individuals who opt for a career as acrobats must be prepared to face rejections and intermittent periods of work. The creativity of acrobats may extend to other aspects of the performance. For example, acrobats in the circus may work with gym trainers, celebrities or collaborate with other professionals to enhance such performance elements as costume and or maybe at the teaching end of the career.

3 Jobs Available

Career as a video game designer is filled with excitement as well as responsibilities. A video game designer is someone who is involved in the process of creating a game from day one. He or she is responsible for fulfilling duties like designing the character of the game, the several levels involved, plot, art and similar other elements. Individuals who opt for a career as a video game designer may also write the codes for the game using different programming languages.

Depending on the video game designer job description and experience they may also have to lead a team and do the early testing of the game in order to suggest changes and find loopholes.

3 Jobs Available

Radio Jockey is an exciting, promising career and a great challenge for music lovers. If you are really interested in a career as radio jockey, then it is very important for an RJ to have an automatic, fun, and friendly personality. If you want to get a job done in this field, a strong command of the language and a good voice are always good things. Apart from this, in order to be a good radio jockey, you will also listen to good radio jockeys so that you can understand their style and later make your own by practicing.

A career as radio jockey has a lot to offer to deserving candidates. If you want to know more about a career as radio jockey, and how to become a radio jockey then continue reading the article.

3 Jobs Available

The word “choreography" actually comes from Greek words that mean “dance writing." Individuals who opt for a career as a choreographer create and direct original dances, in addition to developing interpretations of existing dances. A Choreographer dances and utilises his or her creativity in other aspects of dance performance. For example, he or she may work with the music director to select music or collaborate with other famous choreographers to enhance such performance elements as lighting, costume and set design.

2 Jobs Available

A career as social media manager involves implementing the company’s or brand’s marketing plan across all social media channels. Social media managers help in building or improving a brand’s or a company’s website traffic, build brand awareness, create and implement marketing and brand strategy. Social media managers are key to important social communication as well.

2 Jobs Available

Photography is considered both a science and an art, an artistic means of expression in which the camera replaces the pen. In a career as a photographer, an individual is hired to capture the moments of public and private events, such as press conferences or weddings, or may also work inside a studio, where people go to get their picture clicked. Photography is divided into many streams each generating numerous career opportunities in photography. With the boom in advertising, media, and the fashion industry, photography has emerged as a lucrative and thrilling career option for many Indian youths.

2 Jobs Available

An individual who is pursuing a career as a producer is responsible for managing the business aspects of production. They are involved in each aspect of production from its inception to deception. Famous movie producers review the script, recommend changes and visualise the story.

They are responsible for overseeing the finance involved in the project and distributing the film for broadcasting on various platforms. A career as a producer is quite fulfilling as well as exhaustive in terms of playing different roles in order for a production to be successful. Famous movie producers are responsible for hiring creative and technical personnel on contract basis.

2 Jobs Available

In a career as a copywriter, one has to consult with the client and understand the brief well. A career as a copywriter has a lot to offer to deserving candidates. Several new mediums of advertising are opening therefore making it a lucrative career choice. Students can pursue various copywriter courses such as Journalism, Advertising, Marketing Management. Here, we have discussed how to become a freelance copywriter, copywriter career path, how to become a copywriter in India, and copywriting career outlook.

5 Jobs Available

In a career as a vlogger, one generally works for himself or herself. However, once an individual has gained viewership there are several brands and companies that approach them for paid collaboration. It is one of those fields where an individual can earn well while following his or her passion.

Ever since internet costs got reduced the viewership for these types of content has increased on a large scale. Therefore, a career as a vlogger has a lot to offer. If you want to know more about the Vlogger eligibility, roles and responsibilities then continue reading the article.

3 Jobs Available

For publishing books, newspapers, magazines and digital material, editorial and commercial strategies are set by publishers. Individuals in publishing career paths make choices about the markets their businesses will reach and the type of content that their audience will be served. Individuals in book publisher careers collaborate with editorial staff, designers, authors, and freelance contributors who develop and manage the creation of content.

3 Jobs Available

Careers in journalism are filled with excitement as well as responsibilities. One cannot afford to miss out on the details. As it is the small details that provide insights into a story. Depending on those insights a journalist goes about writing a news article. A journalism career can be stressful at times but if you are someone who is passionate about it then it is the right choice for you. If you want to know more about the media field and journalist career then continue reading this article.

3 Jobs Available

Individuals in the editor career path is an unsung hero of the news industry who polishes the language of the news stories provided by stringers, reporters, copywriters and content writers and also news agencies. Individuals who opt for a career as an editor make it more persuasive, concise and clear for readers. In this article, we will discuss the details of the editor's career path such as how to become an editor in India, editor salary in India and editor skills and qualities.

3 Jobs Available

Individuals who opt for a career as a reporter may often be at work on national holidays and festivities. He or she pitches various story ideas and covers news stories in risky situations. Students can pursue a BMC (Bachelor of Mass Communication), B.M.M. (Bachelor of Mass Media), or MAJMC (MA in Journalism and Mass Communication) to become a reporter. While we sit at home reporters travel to locations to collect information that carries a news value.

2 Jobs Available

Are you searching for a Corporate Executive job description? A Corporate Executive role comes with administrative duties. He or she provides support to the leadership of the organisation. A Corporate Executive fulfils the business purpose and ensures its financial stability. In this article, we are going to discuss how to become corporate executive.

2 Jobs Available

A multimedia specialist is a media professional who creates, audio, videos, graphic image files, computer animations for multimedia applications. He or she is responsible for planning, producing, and maintaining websites and applications.

2 Jobs Available

5 Jobs Available

A quality controller plays a crucial role in an organisation. He or she is responsible for performing quality checks on manufactured products. He or she identifies the defects in a product and rejects the product.

A quality controller records detailed information about products with defects and sends it to the supervisor or plant manager to take necessary actions to improve the production process.

3 Jobs Available

3 Jobs Available

A QA Lead is in charge of the QA Team. The role of QA Lead comes with the responsibility of assessing services and products in order to determine that he or she meets the quality standards. He or she develops, implements and manages test plans.

2 Jobs Available

2 Jobs Available

The Process Development Engineers design, implement, manufacture, mine, and other production systems using technical knowledge and expertise in the industry. They use computer modeling software to test technologies and machinery. An individual who is opting career as Process Development Engineer is responsible for developing cost-effective and efficient processes. They also monitor the production process and ensure it functions smoothly and efficiently.

2 Jobs Available

An AWS Solution Architect is someone who specializes in developing and implementing cloud computing systems. He or she has a good understanding of the various aspects of cloud computing and can confidently deploy and manage their systems. He or she troubleshoots the issues and evaluates the risk from the third party.

4 Jobs Available

An Azure Administrator is a professional responsible for implementing, monitoring, and maintaining Azure Solutions. He or she manages cloud infrastructure service instances and various cloud servers as well as sets up public and private cloud systems.

4 Jobs Available

Careers in computer programming primarily refer to the systematic act of writing code and moreover include wider computer science areas. The word 'programmer' or 'coder' has entered into practice with the growing number of newly self-taught tech enthusiasts. Computer programming careers involve the use of designs created by software developers and engineers and transforming them into commands that can be implemented by computers. These commands result in regular usage of social media sites, word-processing applications and browsers.

3 Jobs Available

3 Jobs Available

Individuals in the information security manager career path involves in overseeing and controlling all aspects of computer security. The IT security manager job description includes planning and carrying out security measures to protect the business data and information from corruption, theft, unauthorised access, and deliberate attack

3 Jobs Available

An Automation Test Engineer job involves executing automated test scripts. He or she identifies the project’s problems and troubleshoots them. The role involves documenting the defect using management tools. He or she works with the application team in order to resolve any issues arising during the testing process.

2 Jobs Available

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