# NCERT Solutions for Class 7 Maths Chapter 6

NCERT Solutions for Class 7 Maths Chapter 6 Triangle and its Properties Exercise 6.1, Exercise 6.2, Exercise 6.3, Exercise 6.4 and Exercise 6.5 in English Medium which are updated for new academic session 2021-2022.

Download solutions of Prashanavali 6.1, Prashanavali 6.2, Prashanavali 6.3, Prashanavali 6.4 and Prashanavali 6.5 in Hindi Medium also updated for session 2021-22. All the solutions are according to NCERT Books 2021-2022. Videos related to each exercises are also given to understand easily. Download Offline Apps free for offline use.

## NCERT Solutions for Class 7 Maths Chapter 6

 Class: 7 Maths (English and Hindi Medium) Chapter 6: Triangle and its Properties

### 7 Maths Chapter 6 Solutions

7 Maths all five exercises of Chapter 6 Triangle and its Properties solutions with complete description of each and every question are given below. For offline use, you may use Offline Apps for 2021-22.

• ### 7 Maths Chapter 6 All Exercises in Hindi Medium

#### Class 7 Maths Chapter 6 Solution in Videos

Class 7 Maths Chapter 6 Exercise 6.1 Solution
Class 7 Maths Chapter 6 Exercise 6.2 Solution
Class 7 Maths Chapter 6 Exercise 6.3 Solution
Class 7 Maths Chapter 6 Exercise 6.4 Solution

#### About NCERT Solutions for Class 7 Maths Chapter 6

In 7 Maths Chapter 6 Triangle and its Properties, we will study about the various properties of a triangle. We know that a triangle is a simple closed curve made of three line segments. It has three vertices, three sides and three angles. It can be classified on the basis of sides and angles as follows:
1. Based on Sides: Scalene, Isosceles and Equilateral triangles.
2. Based on Angles: Acute-angled, Obtuse-angled and Right-angled triangles.
Read the following concepts before going through the chapter:

1. Median of a triangle is a line segment drawn form vertex to the mid-point of opposite side. So, a triangle can have three medians drawn from three vertices.
2. Altitude of a triangle is a perpendicular line drawn from vertex to opposite side. Like median, a triangle can have three altitudes drawn from three vertices.
3. An exterior angle of a triangle is equal to the sum of its interior opposite angles.
4. Angle sum property of Triangle: The sum of all the three interior angles of a triangle is 180°.
##### Helping hand for you

We are working to provide the best NCERT Solutions and contents free of cost without disturbing you. The changes made is as per students suggestions. The opportunities are still there for improvement, so please suggest us to make changes for the session 2021-22. Thanks for your advice so far.

### Important Questions on Class 7 Maths Chapter 6

##### PQR is a triangle, right angled at P. If PQ = 10 cm and PR = 24 cm, find QR.

Given: PQ = 10 cm, PR = 24 cm
Let QR be x cm.
In right angled triangle QPR, (Hypotenuse)² = (Base)² + (Perpendicular)²
[By Pythagoras theorem]
(QR)² = (PQ)² + (PR)²
x² = 10² + 24²
x² = 100 + 576 = 676
x = 26 cm
Thus, the length of QR is 26 cm.

##### ABC is a triangle, right angled at C. If AB = 25 cm and AC = 7 cm, find BC.

Given: AB = 25 cm, AC = 7 cm
Let BC be x cm.
In right angled triangle ACB, (Hypotenuse)² = (Base)² + (Perpendicular)²
[By Pythagoras theorem]
(AB)² = (AC)² + (BC)²
25² = 7² + x²
625 = 49 + x²
x² = 625 – 49 = 576
x = 24 cm
Thus, the length of BC is 24 cm.                  