RS Aggarwal Chapter 9 Class 9 Maths Exercise 9.1 Solutions – Congratulations on tringles and inequalities will provide you with step-by-step solutions that will benefit you to get the best score in the CBSE exams. In this chapter of RS Aggarwal Class 9 Maths Solutions, there are a total of 43 problems, divided into 2 exercises. You will get the idea of different concepts and problems based on triangles and congratulatory relations in the set of all triangles. Some of the concepts to be defined in this chapter are SAS, ASA, AAS, SSS, and RHS conformance criteria and inequalities theorems in a triangle.
The main goal of providing you with this solution is to increase your confidence and analyze the weak areas that require more practice for the exam. You can use the RS Aggarwal solution to solve textbook problems with less difficulty in less time.
The first Exercise 9A of Chapter 9 essentially consists of 27 questions that will ask you to solve problems related to the congruency criterion SAS, AAS, SSS, and RHS and inequalities in a triangle with theorem with the help of the diagrams given respectively.
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Important Definition for RS Aggarwal Chapter 9 Class 9 Maths Exercise 9.1 Solutions
This chapter will help you to understand the basic concepts of congruent triangles: They are triangles that have equal size and shape. This way, the corresponding aspects are equal and the corresponding angles are the same.
In this lesson, we will keep in mind the 4 guidelines to show triangle congruence. They are known as the SSS rule, SAS rule, ASA rule, and AAS rule.
The SSS rule states that side –side-side
If three sides of 1 triangle are identical to three aspects of some other triangle, then the triangles are congruent.
The SAS rule states: side –angle -side
If 2 sides and 1 angle of a triangle are the same on both sides and include the angle of another triangle, then the triangles are congruent.
The AAS rule states: angle –angle -side
If any 2 angles along with a non-included side of a triangle are equal to 2 angles and another non-included side of another triangle, then the triangles are said to be congruent.
Three ways to prove triangles congruent:
Lesson on SAS, ASA, and SSS.
- SSS Postulate: If there exists a correspondence between the vertices of two triangles such that three sides of one triangle are congruent to the corresponding aspects of the alternative triangle, the 2 triangles are congruent.
- SAS Postulate: If there exists a correspondence among the vertices of triangles such that the two sides and the covered angle of one triangle are congruent to the corresponding elements of the other triangle, the 2 triangles are congruent.
- ASA Postulate: If there exists a correspondence between the vertices of two triangles such that angles and the blanketed side of one triangle are congruent to the corresponding components of the other triangle, the 2 triangles are congruent.
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