NCERT Solutions for Class 10 Maths Chapter 6 Triangles - PDF Download

NCERT solutions for class 10 maths chapter 6 Triangles provides a detailed explanation of all the important concepts of triangle. This chapter focuses on the topics including triangle congruence, triangle similarity criteria and how to use these concepts. There are many theorems in NCERT solutions class 10 maths chapter 6. These theorems will help you to prove the congruence and similarity of triangles. Using the concepts in this chapter, students will be able to explore other shapes like circles, trapezius, rectangles, and more. 

NCERT solutions for class 10 maths chapter 6 are carefully selected by the mathematics experts team to ensure that the explanations are as straightforward as possible. With these NCERT solutions for class 10 chapter 6 Maths, you can not only enhance your knowledge but also aim to score higher in your exams. NCERT solutions class 10 maths topics are presented in a sequential way with the simple concepts first followed by the complex concepts so that students can easily understand them. You can download NCERT solutions for class 10 maths chapter 6 Triangles PDF for free. eSaral’s solutions are well-structured, with step-by-step instructions that are clear and concise. All the solutions mentioned here are written in an easy-to-understand way. 

Important Topics covered in Chapter 6 - Triangles

NCERT solutions for class 10 maths  chapter 6 contains the following topics:

6.1 Introduction - In this chapter we will look at the figures that are the same shape but not the same size. Two figures having the same shape (and not necessarily the same size) are called similar figures. In particular, you will learn about the equivalence of triangles and use this knowledge to provide a straightforward proof of Pythagoras theorem previously learned.

6.2 Similar Figures - You have learned in class 9 that congruent circles have the same radii, congruent squares have the same side lengths and congruent equilateral triangles have the same side lengths. The topic explains similar figures by doing the corresponding task. Similar figures are two figures that have the same shape but not the same size.

6.3 Similarity of Triangles - This topic reminds of triangles and how similar they are. two triangles are similar if (a) the corresponding angles are the same and (b) the sides of the two triangles are in the same ratio (or proportion). It provides an explanation of the basic proportionality theorem and different theorems are discussed performing various activities.

6.4 Criteria for Similarity of Triangles - This topic deals with the concept of similarity of triangles, which refers to topics we have covered in previous classes. It also includes various theorems, which are explained with proper examples.

Important Theorems Covered In NCERT solutions for Class 10 Maths Chapter 6 - Triangles

The NCERT solutions for class 9 maths chapter 6 Triangles have incorporated a number of significant theorems.

• Theorem 1 : If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio. 

• Theorem 2 : If a line divides any two sides of a triangle in the same ratio, then the line is parallel to the third side

• Theorem 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.

• Theorem 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.

• Theorem 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.

NCERT Solutions for Class 10 Maths Chapter 6 Exercises

Below is a brief overview of the exercise questions under each section of NCERT Solutions class 10 Maths chapter 6 Triangles:

Benefits of Downloading The NCERT Solutions for Class 10 Maths Chapter 6 - Triangles

NCERT solutions for class 10 maths chapter 6 - Triangle help students to master this concept. Here, we will look at the benefits of downloading and using Chapter 6 Triangle NCERT Solutions.

1. The NCERT solutions are provided by subject-matter experts, which makes them accurate and error-free.

2. NCERT solutions for chapter 6 of class 10 maths provide a detailed explanation of different triangle-related concepts.

3. NCERT solutions for class 10 maths chapter 6, include different exercises with different levels of difficulty. These exercises can be used by students to practice and strengthen their triangle concepts.

4. Practice with these NCERT solutions and you will learn how to solve problems effectively and efficiently, which will help you save time.

Frequently Asked Questions

Question 1. Do I have to solve all NCERT solutions for class 10 maths chapter 6 triangle questions ?

Answer 1. It's a good idea to do all the NCERT Solutions questions for the chapter 6 triangle Maths. This way, you will have a clear understanding of all topics and concepts and will be able to solve all questions with ease. You will also be able to solve the exam questions faster and more accurately as the NCERT Solutions offered by eSaral have been selected by subject matter experts. These solutions are guaranteed to help you brush up on your concepts quickly and easily for your exam.

Question 2. What are the essential topics that are included in chapter 6 of class 10 maths NCERT solutions ?

Answer 2.  The NCERT solutions for class 10 maths chapter 6 is all about Triangles. The main topics covered are mentioned below.

1. Similar Figures

2. Similarity of Triangles

3. Criteria for Similarity of Triangles

Students should ensure that they cover all these topics thoroughly and practice as many questions as they can during this topic preparation for the exams