# NCERT Solutions Class 10 Maths Chapter 6 Triangles

NCERT solutions for class 10 maths chapter 6 Triangles covers all the important concepts of triangles in detail. Suppose you want to figure out the height of a mountain or the dimensions of an object placed at a distance such as the moon, you cannot directly measure them with the help of, let’s say, a measuring tape. In such a case you use the principle of similarity and congruence. The lesson starts by giving a bird’s eye view of these concepts before progressing to topics based on the same. This chapter focuses on the topics such as the congruence of triangles, their similarity criteria, and how using these concepts, the Pythagoras theorem can be proved. The NCERT Solutions Class 10 maths chapter 6 is packed with various theorems, which will be helpful in proving the congruence and similarity of the triangles.

Triangles form one of the most basic geometrical shapes and their study proves to be immensely applicable in the real world. Hence, kids must learn this lesson with care. The concepts presented in this chapter will also help the students study other shapes such as circles, trapezium, rectangles, etc., and explore the difference between congruence and similarity by applying the relevant principles to these various figures. The pdf version of class 10 maths NCERT solutions chapter 6 Triangles in detail can be found below and also you can find some of these in the exercises given below.

- NCERT Solutions Class 10 Maths Chapter 6 Ex 6.1
- NCERT Solutions Class 10 Maths Chapter 6 Ex 6.2
- NCERT Solutions Class 10 Maths Chapter 6 Ex 6.3
- NCERT Solutions Class 10 Maths Chapter 6 Ex 6.4
- NCERT Solutions Class 10 Maths Chapter 6 Ex 6.5
- NCERT Solutions Class 10 Maths Chapter 6 Ex 6.6

## NCERT Solutions for Class 10 Maths Chapter 6 PDF

NCERT Solutions class 10 maths are thoughtfully curated by the experts with the aim of keeping the explanations as simple as possible. These solutions have topics presented in a stepwise manner with the easy concepts first and then gradually moving on to the complex ones so that the students find it easy to navigate through. The NCERT solutions class 10 maths chapter 6 Triangles can be downloaded in a PDF format for free. The links for the PDF download are mentioned below:

**ā** Download Class 10 Maths NCERT Solutions Chapter 6 Triangles

**NCERT Class 10 Maths Chapter 6 **

### NCERT Solutions for Class 10 Maths Chapter 6 Triangles

Triangles form the base templates for other forms such as quadrilaterals and hexagons because they have well-defined geometrical properties. As a result, understanding triangles will provide a solid foundation for future geometry studies. The chapter uses interesting ideas to present the relevant theorems that explain the concepts of congruence and similarity effectively. A quick detailed analysis of the exercise questions in the different segments of the NCERT Solutions Class 10 Maths Chapter 6 Triangles is given below:

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

ā Download Class 10 Maths Chapter 6 NCERT Book

**Topics Covered:** The topics covered in Class 10 Maths NCERT Solutions Chapter 6 are similar figures, the similarity of triangles, criteria for the similarity of triangles, area of similar triangles, and Pythagoras theorem.

**Total Questions:** Class 10 maths chapter 6 Triangles consists of 65 questions, of which 25 are easy, 20 are moderate, and 20 are long answer type questions.

## List of Formulas in NCERT Solutions Class 10 Maths Chapter 6

NCERT solutions class 10 maths chapter 6 includes a list of important formulas that students need to remember. These formulas can help students solve complex sums related to the triangles with ease. The most important ones are based on the similarity and congruence of different shapes. With the help of these kids can simplify tough questions and solve them quickly. Let us go through the formulas included in the NCERT solutions class 10 maths chapter 6 below:

- If two triangles, ABC and XYZ, are similar, then the ratio of the sides of these triangles is equal.

E.g., If triangle ABC and XYZ are identical, then AB/XY= BC/YZ= CA/ZX.

- Inequality: In a triangle, ABC, the sum of two sides is always greater than the third side.

For example : AB+ BC > AC.

- Area of similar triangles: If two triangles, ABC and XYZ, are similar, then

Area of triangle ABC/ Area of triangle XYZ = (AB)^{2}/ (XY)^{2} = (BC)^{2}/ (YZ)^{2}= (AC)^{2}/ (XZ)^{2}

## FAQs on NCERT Solutions Class 10 Maths Chapter 6

### Why are NCERT Solutions Class 10 Maths Chapter 6 important?

The aim of NCERT is to provide quality education to everybody through simple and effective techniques. Keeping this in mind, eminent scholars have developed these NCERT Solutions Class 10 Maths Chapter 6, which make the understanding of the congruence and similarity concepts very easy through illustrative examples. Also, the CBSE highly recommends studying from these solutions which in itself proves their worth.

### Do I Need to Practice all Questions Given in NCERT Solutions Class 10 Maths Triangles?

Mathematics gets better with practice; hence, the students must make sure to study all the examples, practice them by themselves, and then proceed to the exercise questions. Solving various kinds of questions will enhance the thinking capabilities while also giving exposure to multiple use cases of the congruence and similarity theorems. Solving all the problems of the NCERT Solutions Class 10 Maths Triangles will help in solidifying the concepts, thus preparing the students for higher grade mathematics too.

### What are the Important Topics Covered in Class 10 Maths NCERT Solutions Chapter 6?

The NCERT solutions class 10 chapter 6 covers a lot of important topics such as similarity of triangles, congruence of triangles, area of similar triangles, and proof of Pythagoras theorem with the help of congruence and similarity theorems. These theorems and postulates are important to understand in order to ace the exams.

### How many questions are there in NCERT Solutions Class 10 Maths Chapter 6?

The NCERT solutions class 10 maths chapter 6 covers a total of 65 questions. These questions come in different formats like word problems, fill-in-the-blanks, activity-based sums, etc. The varied form of questions available makes the learning experience interesting and engaging, also helping students to get the best possible grade.

### What are the Important Formulas in NCERT Solutions Chapter 6?

The NCERT Solutions Class 10 Maths Chapter 6 introduces a lot of theorems that are necessary for proving the triangles as congruent or similar. Also, the chapter introduces the Pythagoras theorem for right-angled triangles, which states that the sum of the squares of two perpendicular sides is equal to the square of the third side, also known as the ‘hypotenuse’.

### How can CBSE Students utilize NCERT Solutions Class 10 Maths Chapter 6 effectively?

Students can utilize NCERT solutions class 10 maths chapter 6 effectively by regularly revising the chapter’s concepts and theorems. They must practice all the examples and revise important formulas related to inequality, similarity, and congruence of triangles, and then move on to solving the exercise questions. This will give them a good opportunity to explore the sums and harness their problem-solving abilities.