NCERT Solutions for Class 7 Maths Chapter 6 The Triangles and its Properties In this chapter, 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, rightangled triangles, and Pythagoras theorem. There is a total of 5 exercises with 21 questions in this chapter. The NCERT Solutions for Class 7 Maths Chapter 6 The Triangles and its Properties are created and solved by maths experts to help students in their preparation of class 7 CBSE final examination.
Triangle is a very important topic for a maths student, so students need to give proper attention to this topic. These NCERT solutions of class 7 Maths are extremely helpful for the students to understand the basics of this chapter and also help them to clear all their doubts easily. These NCERT Solutions are given here with a detailed explanation of each problem of the NCERT textbook.
A triangle is a simple closed curve made of three line segments. It has three sides, three vertices, and three angles. Here is ∆ABC (Fig 6.1). The side BC is opposite to the vertex A. In NCERT Class 7 Maths Chapter 6 The Triangles and its Properties we will learn how to classify triangles based on the (i) angles (ii) sides. (i) Based on Angles: Rightangled triangles, Obtuseangled and Acuteangled. (ii) Based on Sides: Equilateral triangles, Scalene and Isosceles. An acuteangled triangle is a triangle in which all three angles are acute angles or less than 90°. An obtuseangled triangle is a triangle in which one angle is obtuse angle greater than 90°. A rightangled triangle is a triangle with one right angle or 90°.
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.
6.1 Introduction
6.2 Medians of a Triangle
6.3 Altitudes of a Triangle
6.4 Exterior Angle of a Triangle and its Property
6.5 Angle sum Property of a Triangle
6.6 Two Special Triangles: Equilateral and Isosceles
6.7 Sum of the Lengths of two Sides of a Triangle
6.8 RightAngled Triangles and Pythagoras Property
The complete Solutions of NCERT Class 7 Mathematics Chapter 6 is provided below:
NCERT Solutions for Class 7 Maths Chapter 6 The Triangles and its Properties  Exercise 6.1
NCERT Solutions for Class 7 Maths Chapter 6 The Triangles and its Properties  Exercise 6.2
NCERT Solutions for Class 7 Maths Chapter 6 The Triangles and its Properties  Exercise 6.3
NCERT Solutions for Class 7 Maths Chapter 6 The Triangles and its Properties  Exercise 6.4
NCERT Solutions for Class 7 Maths Chapter 6 The Triangles and its Properties  Exercise 6.5
NCERT Solutions for Class 7 Maths Chapter 6 The Triangles and its Properties  InText Solutions
Chapter No. 
Chapter Name 
Chapter 1 

Chapter 2 

Chapter 3 

Chapter 4 

Chapter 5 

Chapter 7 

Chapter 8 

Chapter 9 

Chapter 10 

Chapter 11 

Chapter 12 

Chapter 13 

Chapter 14 
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
1. PQR is a triangle, rightangled at P. If and , find QR.
2. The two interior opposite angles of an exterior angle of a triangle are and . Find the measure of the exterior angle.