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NCERT Solutions for Class 10 Maths chapter 6 Exercise 6.3 Triangles - PDF

Class 10

NCERT solutions for class 10 maths chapter 6 ex 6.3 Triangle shows the requirements for proving the similarity of the triangle. These three critical theorems, also referred to as Angle-angle-angle (AAA, Angle-side-angle (ASA) and Side-side-side (SSS). Triangle can be proven to be equivalent by meeting these three criteria.

NCERT solutions class 10 maths chapter 6 ex 6.3 consists of 16 questions covering all aspects of the theorems mentioned above. Students will be expected to observe the figure presented in the questions to ensure that they are able to effectively apply the fact where necessary. 

Check out the pdf of the NCERT solutions for ex 6.3 that you can download for free here. Our experts can help you understand the steps of the NCERT class 10 solutions and explain them to you if you're having trouble understanding them.

Topics Covered in Exercise 6.3 Class 10 Mathematics Questions

Class 10 maths ex 6.3 is based on the concept of similarity between different triangles in NCERT solutions.

1. 

Criteria for Similarity of Triangles

2.

Theorem 6.3

3.

Theorem 6.4

4.

Theorem 6.5

  1. Criteria for Similarity of Triangles - If the angles of two triangles are the same and the corresponding sides are also the same, then they're said to be similar.

Important theorems are covered in this exercise.

  1. Theorem 6.3 - If in two triangles, corresponding angles are equal, then their corresponding sides are in the same ratio (or proportion) and hence the two triangles are similar.

This criterion is referred to as the AAA (Angle–Angle–Angle) criterion of similarity of two triangles.

  1. Theorem 6.4 - If in two triangles, sides of one triangle are proportional to (i.e., in the same ratio of ) the sides of the other triangle, then their corresponding angles are equal and hence the two triangles are similar.

This criterion is referred to as the SSS (Side–Side–Side) similarity criterion for two triangles.

  1. Theorem 6.5 - If one angle of a triangle is equal to one angle of the other triangle and the sides including these angles are proportional, then the two triangles are similar.

This criterion is referred to as the SAS (Side–Angle–Side) similarity criterion for two triangles.

Tips for Solving Exercise 6.3 Class 10 chapter 6 Triangles

Here, our experts have put together some helpful tips to help you out with questions related to ex 6.3, which you can check out below.

  1. NCERT solutions class 10 maths chapter 6 ex 6.3 Triangles has well-written examples and questions to prove the importance of the similarity theorem.

  2. There are some important theorems such as AAA property, SAS property and SSS property which you must practice to solve questions.

  3. NCERT solutions class 10 maths chapter 6 ex 6.3 is designed to study the properties of the triangle using similarity theorem. Therefore, the students need to thoroughly revise their triangle concepts to complete the exercise.

Importance of Solving Ex 6.3 Class 10 Maths chapter 6 Triangles

eSaral offers a lot of advantages for students, and they can find all the solutions they need right on the eSaral website.

  1. Class 10 maths Exercise 6.3 is concerned with conditions for the congruence of triangles.

  2. All solutions are available in PDF format and can be easily downloaded from the eSaral website.

  3. Ex 6.3 of NCERT solutions class 10 maths chapter 6 is written in simple language for the students to understand.

  4. Ex 6.3 of NCERT solutions class 10 maths chapter 6 will be a quick revision for the students.

Frequently Asked Questions 

Question 1. What Is the AAA theorem of similarity of triangles ?

Answer 1. The Angle-Angle-Angle (AAA) theorem states that triangles are similar to each other if, in two triangles, corresponding angles are equal, then their corresponding sides are in the same ratio (or proportion) and hence the two triangles are similar. 

Question 2. Where can I get NCERT solutions for ex 6.3 in class 10 maths ?

Answer 2. Students can download NCERT solutions for class 10 maths ex 6.3 from eSaral. Students can download NCERT solutions for class 10 maths for free in PDF format. These solutions are written in a clear and well-structured format with topic-specific explanation. Students will get answers to all NCERT questions here.

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