NCERT Solutions for Class 7 Maths Chapter 6 Triangle and its Properties and Class 7 Maths Chapter 6 Try These Solutions in Hindi and English Medium updated for new session 2024-25. Here are the main points covered in NCERT Class 7 Maths Chapter 6, The Triangles and its Properties. According to new syllabus and current NCERT textbooks for 2024-25, there are five exercises in class 7th mathematics chapter 6 triangles and its properties.

Class: 7 | Mathematics |

Chapter 6: | Triangle and its Properties |

Number of Exercises: | 5 (Five) |

Content: | NCERT Solutions and Try These Answers |

Mode: | Online Text, Images and Videos |

Academic Year: | Session 2024-25 |

Medium: | English and Hindi Medium |

### 7th Maths Chapter 6 Solutions in Hindi 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 2024-25. All the solutions are according to NCERT Books. Definition of a triangle as a closed figure formed by three line segments. Classification of triangles based on sides (scalene, isosceles, equilateral) and angles (acute, obtuse, right). Videos related to each exercises are also given to understand easily. Download Offline Apps free for offline use.

#### 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. The sum of the interior angles of a triangle is 180 degrees. Corollaries and proofs related to this theorem. For offline use, you may use Offline Apps for 2024-25.

**Exterior Angle of a Triangle**: Definition of an exterior angle of a triangle.

*The exterior angle property*: The exterior angle of a triangle is equal to the sum of the two opposite interior angles.

### 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.

#### 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°.

##### Helping hand for you

The chapter 6 of 7th mathematics also includes real-world applications of triangles and their properties, such as constructing buildings, designing bridges, and using trigonometry in various fields. We are working to provide the best NCERT Solutions and contents free of cost for you. The changes made is as per students suggestions. Various exercise questions that involve applying the concepts learned in the chapter. These questions cover topics like finding missing angles, verifying properties of triangles, solving practical problems involving triangles, and more. The opportunities are still there for improvement, so please suggest us to make changes for the session 2024-25. It’s important to read the chapter thoroughly, pay attention to definitions, theorems, and proofs, and practice solving the exercise questions. Understanding the properties of triangles is essential not only for this chapter but also for more advanced geometry concepts you’ll encounter in the future. Thanks for your advice so far.