# RD SHARMA Solutions for Class 10 Mathematics Chapter 4: Triangles

This chapter starts with a brief introduction of congruence and similarity, which the students were taught in class 9. Then, the properties required for two figures to be similar or congruent are explained thoroughly utilising sample numerical.

It then provides information about the similarity of different triangles based on specific properties, which are as follows: Two triangles are said to be similar if:

• Their corresponding angles are equal
• Their corresponding sides are in the same ratio.

Chapter 4-Triangles also explains various theorems used to represent the similarity of triangles and establish relations between the different characteristics of a triangle.

It also explains in a detailed manner certain practical applications of triangles and their properties. As encounters with word problems suggest, triangles find a widespread application in our day-to-day life and hence the importance of this chapter knows no bounds. The chapter also provides knowledge about the area of triangles and how it affects their similarity.

The chapter concludes with the definition of the Pythagoras Theorem and its applications in the practical world. For example, this theorem is used to prove certain theorems that help in explaining the similarity of triangles. The Pythagoras theorem states that the sum of the square of two perpendicular sides in a right angles triangle is equal to the square of the hypotenuse. These derivations based on Pythagoras or using Pythagoras are very important, and the student must understand its concepts thoroughly as they have numerous applications and are essential for the chapters that follow not only in this academic session but also in the ones the students will go through in the future.