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NCERT Solutions for Class 10 Maths Chapter 6 Ex 6.3 

 

NCERT Solutions for Class 10 Maths Chapter 6 Ex 6.3 are created by askIITians experts to help you master this exercise for board exams. You can download these solutions for free in PDF form and refer to them whenever you want. These solutions are a self-study guide for you. They include stepwise solutions, easy explanations and proper reasoning to help you understand the different criteria for similarity of triangles. If you want to score high marks in Class 10 Maths, you must solve the exercises of Chapter 6 thoroughly. 

About NCERT Class 10 Maths Chapter 6 Triangles Ex 6.3

 

Chapter 6 Triangles of Class 10 Maths is based on finding out whether the given triangles are similar or not. This chapter also includes various theorems based on the similarity of triangles and areas of similar triangles including the Pythagorean Theorem. You must revise all the theorems of the chapter before you start solving the NCERT exercises of the chapter. 

 

Criteria for similarity of triangles: 

  • AAA (Angle-Angle-Angle) Similarity Criterion for two triangles: 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. 
  • AA Similarity Criterion for two triangles: If two angles of one triangle are respectively equal to two angles of another triangle, then the two triangles are similar.
  • SSS (Side–Side–Side) Similarity Criterion for two triangles: 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.
  • SAS (Side–Angle–Side) Similarity Criterion for two triangles: 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. 

Types of questions included in Ex 6.3 Chapter 6 Class 10 Maths:

 

Ex 6.3 Q1: In this question, you are given 6 pairs of triangles. You have to state which of the given pairs of triangles are similar. You have to also state the similarity criterion used in finding the similarity of triangles. 

 

Ex 6.3 Q2: In this question, you are given two triangles and similar. You have to find the measure of one of its angles. Students often get confused in solving this question since it is the total opposite of question 1. Check our NCERT Solutions and see how to solve this question step by step. 

 

Ex 6.3 Q3: In this question, you are given that Diagonals AC and BD of a trapezium ABCD with AB || DC intersect each other at the point O. Using a similarity criterion for two triangles. You have to use the criteria of similarity and prove that OA/OC = OB/OD. 

 

Ex 6.3 Q4 - Q6: In these three questions, you have to prove that the given pair of triangles are similar to each other. You must remember the different similarity criteria for two triangles to solve this question correctly. We have provided stepwise explanations for these three questions in our NCERT Solutions. 

 

Ex 6.3 Q7: In this question, you are given a figure with 7 triangles. You have to prove the similarity between different triangles of the given figure. It could be a little tricky to solve this question since it includes many triangles. But, our NCERT Class 10 Maths solutions are here to guide you. 

 

Ex 6.3 Q8: This question is based on two triangles formed between a parallelogram. You must draw the figure of this question to understand what is being asked. 

 

In a similar way, you have 8 more questions in this exercise where you have to prove the similarity of triangles. We recommend you draw a rough diagram of the questions so that you can understand what is given to you. Then, you can formulate the strategy to solve the questions. 

Download NCERT Free Solutions for Class 10 Maths Chapter 6 Ex 6.3 

 

The third exercise of the Triangles Chapter of Class 10 Maths is a long exercise with 16 questions. If you think you cannot solve the exercise in one sitting, you can download our NCERT Solutions for Class 10 Maths Chapter 6 Ex 6.3 and refer to them whenever you study. This also gives you a chance to learn the concepts of SSS, AAA and SAS similarity criteria for two triangles. If you want to access the exercise-wise solutions for Class 10 Maths Chapter 6, just refer to the askIITians website.

  • NCERT Chapter 6 Class 10 Maths Ex 6.1 Solutions - 3 Questions
  • NCERT Chapter 6 Class 10 Maths Ex 6.2 Solutions - 10 Questions
  • NCERT Chapter 6 Class 10 Maths Ex 6.3 Solutions - 16 Questions
  • NCERT Chapter 6 Class 10 Maths Ex 6.4 Solutions - 9 Questions
  • NCERT Chapter 6 Class 10 Maths Ex 6.5 Solutions - 17 Questions 
  • NCERT Chapter 6 Class 10 Maths Ex 6.6 Solutions - 10 Questions 

Key features of NCERT Solutions for Class 10 Maths Chapter 6: 

  • The NCERT Solutions are created for board exam preparation. They are based on the latest CBSE syllabus and exam pattern. 
  • The solutions are presented in a stepwise way for a better understanding of how to solve the questions in exams. 
  • You can learn independently without any external guidance if you have NCERT Solutions with you. 

NCERT Class 10 Maths Chapter 6 Triangles Ex 6.3 FAQs

 

1. How much time will it take to complete the NCERT Class 10 Maths Chapter 6 Ex 6.3? 

It is difficult to say since every student learns and studies at their own pace. But, on average you might need 4-5 days to complete this exercise. There are 16 questions in this exercise. 

 

2. How to prepare Class 10 Maths Chapter 6 Triangles for Class 10 Maths? 

askIITians provides you with a plethora of study resources for the Class 10 Maths Triangles chapter such as revision notes, extra questions, NCERT Solutions, mind maps, flashcards and more. We also provide batch-wise and one-on-one online classes where you can study every concept of Triangles step by step from our experts. 

 

3. What are the different criteria for the similarity of triangles?

There are three main criteria for proving the similarity of triangles: 

  • AAA (Angle-Angle-Angle) Similarity Criterion

  • SSS (Side–Side–Side) Similarity Criterion

  • SAS (Side–Angle–Side) Similarity Criterion


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