# RD Sharma Chapter 10 Class 9 Maths Exercise 10.5 Solutions

RD Sharma Chapter 10 Class 9 Maths Exercise 10.5 Solutions will learn about the RHS (Right angle-Hypotenuse-Side) and concepts related to it interestingly and interactively. According to the rules, two triangles are congruent if the hypotenuse and one side of one triangle are sequentially equal to the hypotenuse and one side of another triangle. This topic can be studied with RD Sharma Solutions for Class 9 with the step-by-step sample.

Moreover, we have given the RD Sharma Chapter 10 Class 9 Maths Exercise 10.5 Solutions PDF in which varieties of the questions are available based on the RHS (Right angle-Hypotenuse-Side). Through the PDF, students will get to know the different types of problems and methods to solve them in an easy manner. It is prepared by our subject experts with dedication and stepwise explanations with exams to keep in mind the level of Class 9.

Learn about RD Sharma Class 9 Chapter 10 (Congruent Triangles)

## Download RD Sharma Chapter 10 Class 9 Maths Exercise 10.5 Solutions PDF

Solutions for Class 9 Maths Chapter 10 Congruent Triangles Exercise 10.5

## Important Definitions RD Sharma Chapter 10 Class 9 Maths Exercise 10.5 Solutions

In this exercise of Chapter 10, we will learn about the Criterion of Congruence – RHS (Right angle-Hypotenuse-Side). Go down and look at the information regarding Criterion of Congruence – RHS (Right angle-Hypotenuse-Side).

### RHS (Right angle-Hypotenuse-Side)

If the hypotenuse and the sides of a right-angled triangle are equal to the hypotenuse and a side of the second (another) right-angled triangle, then the two right triangles are assumed to be congruent to the RHS (Right angle-Hypotenuse-Side) rule.

In the above-given figure-

= Here, ∠L = ∠Y = 90°

= KM = XZ

= and KL = XY

= Therefore, ∆KLM ≅ ∆XYZ.

## Frequently Asked Question (FAQs) of RD Sharma Chapter 10 Class 9 Maths Exercise 10.5 Solutions

Ques 1- What is the Full Form of CPCT?

Ans- CPCT is the abbreviation of Corresponding Parts of Congruent Triangles. CPCT theorem says that- if two or more triangles that are congruent to each other are used, then the corresponding angles and the sides of the triangles are also congruent to one another.

Ques 2- What are the criteria of congruence?

Ans- What are the criteria of congruence?

Ans- The form (shape) of the triangle is circumscribed up to congruence by defining two sides and an angle between them (SAS), two (2) angles and the side between them (ASA), or two angles and a similar adjacent side (AAS). However, defining two sides and an adjacent angle (SSA) can produce two distinct possible triangles.

Ques 3- How do you prove RHS?

Ans- In two (2) right-angled triangles, if the measure of the hypotenuse and one side of a triangle is equivalent to the measure of the hypotenuse and a corresponding side of another triangle, formerly the two triangles are congruent.

Ques 4- Why congruence can be considered a special case of similarity?

Ans- The symbol ‘|||’ is sometimes applied for the phrase ‘is similar to’. Apparently, congruence is a specific case of similarity, i.e., all congruent triangles are similar triangles, but only some similar triangles are congruent.