NCERT Solutions for Class 7 Maths Chapter 6 Triangle and its Properties in Hindi and English Medium updated for CBSE session 2022-2023.

## 7th Maths Chapter 6 Solutions in English Medium

### NCERT Solutions for Class 7 Maths Chapter 6

7th Mathematics 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. 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 2022-23. All the solutions are according to NCERT Books. Videos related to each exercises are also given to understand easily. Download Offline Apps free for offline use.

Class: 7 | Mathematics |

Chapter 6: | Triangle and its Properties |

Content: | NCERT Solution |

Mode: | Online Text and Videos |

Medium: | English and Hindi Medium |

#### 7 Maths Chapter 6 Solutions

Class 7 Maths NCERT (https://ncert.nic.in/) 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 2022-23.

### 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)Â² = (Base)Â² + (Perpendicular)Â²

[By Pythagoras theorem]

(QR)Â² = (PQ)Â² + (PR)Â²

xÂ² = 10Â² + 24Â²

xÂ² = 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)Â² = (Base)Â² + (Perpendicular)Â²

[By Pythagoras theorem]

(AB)Â² = (AC)Â² + (BC)Â²

25Â² = 7Â² + xÂ²

625 = 49 + xÂ²

xÂ² = 625 â€“ 49 = 576

x = 24 cm

Thus, the length of BC is 24 cm.

#### 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 180Â°.

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