# 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 Chapter 6 all Exercises Solution

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 English Medium

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

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

#### Class 7 Maths Chapter 6 Exercise 6.5 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:

- 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.
- 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.
- An exterior angle of a triangle is equal to the sum of its interior opposite angles.
- Angle sum property of Triangle: The sum of all the three interior angles of a triangle is 180°.

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### 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.