NCERT solutions for class 10 maths chapter 6 Triangles: We have studied about triangles and properties of the triangles in the previous classes. Here we are going to study similar triangles and their properties. Solutions of NCERT for class 10 maths chapter 6 Triangles is covering a detailed explanation to each and every question available in the practice exercises. This chapter starts by introducing the difference between similar and congruent figures. If two figures are the same in shape and size, the figures are said to be congruent. Two figures that have the same shape but not necessarily the same size are called similar figures. For example, all circles are similar but only those circles with the same radii are congruent which means all congruent figures are similar but converse may not be true. In this chapter of CBSE NCERT solutions for class 10 maths chapter 6 Triangles, you will get the solutions to the problems based on the similarity of triangles. The concept of similarity of triangles can be used to measure the height of objects. Below is a question solved in NCERT solutions for class 10 maths chapter 6 Triangles. This question can be solved using the concept of similarity of triangles.
Question: A girl of height 90 cm is walking away from the base of a lamp-post at a speed of 1.2 m/s. If the lamp is 3.6 m above the ground, find the length of her shadow after 4 seconds.
length of lamp post (AB) = 3.6m
Height of the girl = 90cm or 0.9m
Speed of the girl = 1.2m/sec
To find:- the length of the shadow DE.
Solution:- the girl walked BD distance in 4 seconds.
The distance traveled girl = length of BD = 4 x 1.2 => 4.8m
In Triangle ABE and Triangle CDE
Thus Triangle ABE and Triangle CDE are similar triangles.
From the theorem:- If two triangles are similar then the ratio of their sides is equal.
Hence the length of the shadow is 1.6m.
These types of examples are mentioned in this chapter. Class wise and chapter-wise NCERT solutions can be downloaded by clicking on the above-given link.
Similarity of triangles
Theorems based on similar triangles
Areas of similar triangles
Theorems related to Trapezium