# NCERT Solutions for Class 9 Maths Chapter 7 Triangles

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NCERT Solutions for Class 9 Maths Chapter 7 Triangles-

We have studied briefly about triangles and their properties in previous classes. In this chapter, we are going to discuss properties of triangles like congruence of triangles, isosceles triangle, etc in detail. It is one of the important topics for maths students. In this chapter, there is a total of 5 exercises with 31 questions in them. The NCERT Solutions for Class 9 Maths Chapter 7 Triangles are solved and designed by our subject experts. These NCERT solutions are the detailed explanation of problems of class 9 Maths NCERT textbook and these solutions help students in their preparation of class 9 CBSE final examination as well as in the various competitive exams like NTSE, Indian National Olympiad (INO), etc.

We know that the triangle is a closed figure formed by three intersecting lines. A triangle has three vertices, three sides, and three angles. In Chapter 6, we have studied some basic properties of triangles like the angle sum property of a triangle. In NCERT Class 9 Maths Chapter 7 Triangles, we will study in-depth about the congruence of triangles, rules of congruence, some more properties of triangles like an isosceles triangle, the sides opposite to equal angles of the triangle are equal in length and inequalities in a triangle. The important axiom and theorems that we are going to discuss in Chapter 7 Triangles are-

1. (SAS congruence rule): If two sides and the included angle of one triangle are equal to the two sides and the included angle of another triangle then two triangles are congruent.
2. (ASA congruence rule): If two angles and the included side of one triangle are equal to two angles and the included side of another triangle then two triangles are congruent.
3. Angles opposite to the equal sides of the isosceles triangle are equal.
4. The sides opposite to equal angles of the triangle are equal.
5. (SSS congruence rule): The two triangles are congruent if the three sides of one triangle are equal to the three sides of another triangle.
6. (RHS congruence rule): The two triangles are congruent if in two right triangles one side of one triangle and the hypotenuse are equal to the hypotenuse and one side of the other triangle.
7. The sum of any two sides of the triangle is greater than the third side of the triangle.

## Topics of NCERT Grade 9 Maths Chapter 7 Triangles-

7.1 Introduction

7.2 Congruence of Triangles

7.3 Criteria for Congruence of Triangles

7.4 Some Properties of a Triangle

7.5 Some More Criteria for Congruence of Triangles

7.6 Inequalities in a Triangle

7.7 Summary

The complete Solutions of NCERT Class 9 Mathematics Chapter 7 is provided below:

## NCERT Solutions for Class 9 Maths - Chapter Wise

 Chapter No. Chapter Name Chapter 1 Number Systems Chapter 2 Polynomials Chapter 3 Coordinate Geometry Chapter 4 Linear Equations In Two Variables Chapter 5 Introduction to Euclid's Geometry Chapter 6 Lines And Angles Chapter 8 Quadrilaterals Chapter 9 Areas of Parallelograms and Triangles Chapter 10 Circles Chapter 11 Constructions Chapter 12 Heron’s Formula Chapter 13 Surface Areas and Volumes Chapter 14 Statistics Chapter 15 Probability