# NCERT Solutions for Class 10 Maths Chapter 6 – Triangles

NCERT Solutions for Class 10 Maths Chapter 6-Triangles, are prepared by our esteemed subject-matter experts. They contain detailed explanations of all concepts and relevant solved examples. These examples will help you understand all the concepts of the chapter quickly and effectively. Our NCERT Solutions are completely accurate, crisp and concise. Some of the important concepts covered in NCERT Class 10 Maths Chapter 6 include the meaning of a triangle, similarity criteria of two polygons, similarity criteria of triangles Proportionality theorem and Pythagoras theorem.

Our NCERT Solutions for Chapter 6 – ‘Triangles’ are the best study materials for smart learning and efficient answering of questions in your board exams. They have been written in an easy to comprehend language. Also, our experts’ Maths teachers have used the best methods of solving sums to draft these solutions. Our NCERT Solutions have been prepared on the basis of the latest CBSE Class 10 Maths syllabus. If you study the CBSE NCERT Class 10 Maths Textbook along with our well-structured, logically drafted, and comprehensive NCERT Solutions for Class 10 Maths Chapter 6-Triangles then you will surely excel in your board exams.

They have been drafted with the objective of making your board exams preparation a very easy task. They have been designed to give you ample practice, and help you become thorough with all topics covered in the chapter. Our NCERT Solutions answer all questions of all the 6 exercises of the chapter in a step by step manner. Our subject experts are here to help you with the solid knowledge of the topics and clear your doubts right away. Our Smart study tips and tricks are just what you need to strengthen your preparation in less time and effortlessly.

**CBSE NCERT Solutions Class 10 Maths Chapter 6: Important topics**

CBSE NCERT Class 10 Maths Chapter 6 teaches you various aspects associated with triangles. Here, you will be focusing on topics like similar triangles, areas of similar triangles and Pythagoras theorem. The topic-wise description has been mentioned below.

**Types of Triangles:**

In this part of NCERT Class 10 Maths Chapter 6 – Triangles, you will be learning about various triangles based on their angles and based on their length of sides. Some types of triangles such as obtuse angle triangle, acute angle triangle, right-angle triangle, equilateral triangle, isosceles triangle and scalene triangle.

**Centres of a triangle**

In NCERT Class 10 Maths Chapter 6 – Triangles, you will be taught about the centres of the triangle such as orthocenter of the triangle, circumcenter of the triangle, incenter of a triangle and centroid of a triangle. These subtopics are well explained with relevant diagrams and examples to make the topic much easier to understand and learn.

**The Similarity of Triangles**

Here, in NCERT CBSE Class 10 Maths Chapter 6, you will be learning what the corresponding angles of two triangles are and what are corresponding sides of two triangles. You will also learn that if the angle of the two triangles is the same, then, it will be called an equiangular triangle.

**Basic Proportionality Theorem**

This theorem is also called Thales theorem. Here, you will be taught how to find the ratio of the line, which is drawn parallel to one side of the triangle. You will also be learning about the converse of basic proportionality theorem.

**Criteria for the similarity of Triangles:**

In NCERT CBSE Class 10 Maths Chapter 6, you will be learning about various criteria to find out the similarity of the given triangles. You will learn about AAA (Angle-Angle-Angle) criteria of similarity, SSS (Side-Side-Side) criteria of similarity and SAS (Side-Angle-Side) criteria of similarity. This chapter will also teach you about areas of similar triangles in details.

**Pythagoras Theorem**

In NCERT CBSE Class 10 Maths Chapter 6, you will be learning how AB2 + BC2 = AC2, given that AB, BC and AC are three sides of a right-angle triangle ABC with angle B as the right-angle triangle. Our NCERT Solutions give you a proper explanation through supporting diagrams to help you clearly understand this theorem. Here you will also learn about the converse of Pythagoras theorem.

In the next part of NCERT Solutions for Chapter 6-Triangles, you will be learning about the similarity of two triangles made in the right angle triangle and the laws of sines and cosines in a triangle.

## NCERT Solutions for Class 10th Maths Chapter 6 – Triangles Exercise Questions

CBSE Class 10 Maths Syllabus chapter 6 has three exercises in total. These exercises are comprehensive and cover all corners of the chapter. Below is a brief overview of the same.

**Exercise 6.1**

This exercise 6.1 of Chapter 6 – Triangles consists of 3 questions. Question 1 is fill in the blank question, which has 4 sub-questions in it. This question covers various topics like circles, squares, triangles and polygons. Question 2 is a short answer question, which has two subparts in it. Question 3 is a short answer question. It has been asked from the topic of quadrilaterals.

**Exercise 6.2:**

This exercise 6.2 of CBSE NCERT Class 10 Maths book, consists of 10 questions. Question 1 and question 2 are solved by proportionality theorems in which you will have to find whether the given sides are parallel or not. Questions 3, 4, 5 and 6 are based on proportionality theorems, in which you will have to solve the question and find whether the given sides are parallel or not. Question 7 and question 8 asks you to prove the midpoint of one side of a triangle parallel to another side. These questions have to be proved based on the proportionality theorems. Question 9 and question 10 is asked from the trapezium topic.

**Exercise 6.3:**

This exercise 6.3 of Class 10 Maths Triangles, consists of 16 questions on the whole. Question 1 is from pairs of triangles, in which you will have to find the pairs of similar triangles in the symbolic form. Question 2 is based on a given figure. In this, you have to find whether corresponding angles are equal in similar triangles or not. Questions 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 and 13 are based on the similarity criterion of triangles. Question 14 is based on a parallelogram. Here, you have to check whether the triangles are similar or not. Question 15 and question 16 are about finding the height of a tower and medium of triangles. This question requires you to use the similarity criterion to answer the question accurately.

**Exercise 6.4:**

This exercise 6.4 of NCERT Solutions for Class 10th Maths Chapter 6, consists of 9 questions. Question 1 is asked from the lattice of a triangle, where you have to find a specific lattice of a triangle with the given areas. Question 2 and question 5 asks you to find the ratio of the areas of the given triangles. In question 4 you will have to find whether the given triangles are congruent or not. Question 6 and question 7 asks you to prove the ratio of the areas are equal to the square of the ratio. Question 8 and question 9 are based on the area of the triangle concept.

**Exercise 6.5:**

In exercise 6.5, there are 17 questions. Question 1, 2, 3, 4, and 5 are based on right angles triangles. Here, you will have to figure out whether the given triangles prove the Pythagoras theorem or not. Question 6 to 17 are also based on Pythagoras theorem

**Exercise 6.6:**

This exercise of NCERT Solutions for Class 10 Maths Chapter 6-Triangles, consists of 10 questions. Maximum of the questions are based on Proportionality theorem and Pythagoras theorem.