NCERT Solutions for Maths Class 10 Chapter 6

NCERT Solution for Maths Class 10 Chapter 6: The CBSE Class 10 Maths Chapter 6-Triangles deals with Similarity of Triangles, Areas of Similar Triangles, and Pythagoras Theorem. The NCERT Solutions for Maths Class 10 chapter 6 will help students in improving their problem-solving speed and accuracy. Students can score full marks in Class 10 Maths board exam if they build a strong foundation in the basics, practice regularly, solve sample questions and take mock tests.

There are seven exercises in chapter 6 of 10th NCERT Maths. Triangles is an interesting and important chapter in Geometry. In this article, students will find links to sample papers, mock tests, previous years’ question papers, and NCERT solution. Read on to find more on the NCER Solutions Class 10 Maths Chapter 6.

NCERT Solution for Maths Class 10 Chapter 6: Overview

The NCERT Solutions for Class 10 Maths Chapter 6 involves exercises 6.1 – 6.7 Let us glance through the topics covered in the exercises in a tabulated manner below.

NCERT Solutions Class 10 Maths Chapter 6 Triangles PDF

Students can either download the CBSE Solutions for Class 10 Maths Chapter 6 or bookmark this page to directly view the answers below:

DOWNLOAD NCERT SOLUTIONS FOR CLASS 10 MATHS CHAPTER 6

Q.1. All squares are _. (similar, congruent) similar
Solution: We know that,
All the sides of a square are equal.
Since the ratios of the lengths of their corresponding sides are equal.
Hence, all squares are similar since size of squares may be different, but the shape will be always same.

Q.2. Two polygons of the same number of sides are similar, if their corresponding angles are _ and their corresponding sides are proportional. [proportional / equal] equal
Solution: Two polygons of same number of sides are similar, if their corresponding angles are equal and their corresponding sides are proportional.
For example, if two triangles with angles 30°,60° and 90°are similar, then the
ratio Hypotenuse of 1st circle Hypotenuse of 2st circle will be the same.

Advantages of NCERT Class 10 Maths Solutions 2022

Check the benefits of NCERT Solutions by Embibe below:

1. These solutions will help the students gain a better understanding of the topics and chapters and learn the proper approach to solving problems.
2. Embibe’s NCERT solutions cover the entire syllabus of CBSE Class 10 Maths and include all the questions and exercises of the NCERT textbook for Class 10 Maths.
3. All the solutions have been prepared in an elaborate and step-by-step manner.
4. Students can use these solutions for exam preparation and completing their assignments and homework.
5. Our academic experts have optimised the NCERT solutions for board exams, competitive exams, and Olympiads.

NCERT Solutions Class 10 Maths Chapter 6 Triangles: Summary

In Class 9, the congruency of triangles was discussed, and students will learn about similar triangles with several theorems, proofs, and problems. Students will learn the concept of similar triangles and the criteria for the similarity of triangles. To begin with, go through the following points:

1. Triangles are used to make beams in buildings and curved domes. Some bridges have triangular constructions, and the Egyptians made triangular-shaped pyramids.
2. The shapes help surveyors use triangulation to define the distance of a specific point from two other points of a known distance aloof. 
3. Triangulation is used to measure distances around corners and while drilling pits. Also, carpenters use a right-angled triangle to get measurements.
4. Right-angled triangles are used solve real-world distance problems, such as the length a ladder of a known length can go up towards a wall if the angle the ladder makes with the ground is known.
5. This concept also helps determine the flight path (the distance travelled from the beginning point and bearing) of a plane that travels at a known speed for some hours, turns at a known angle at the same velocity, and continues to fly for a known number of hours.
6. A sandwich may be formed like a triangle. A staircase makes a right-angled triangle, with its length being the hypotenuse. 
7. A right-angled triangle forms when one stands at the top of the tower, observes an oncoming ship, and ventures to calculate the distance between the boat and the bottom of the pillar or the angle of elevation from the top.
8. Triangles have a very useful property – there’s only one triangle with those side lengths for any given set of side lengths.
9. This means that if students build a triangle out of some material (like steel, wood, etc.), it won’t flex, even with very little material in the triangle.
10. This means it’s possible to build extremely lightweight, strong structures using frameworks made up of triangles.

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