Question

Name the criteria of similarity by which following triangles are similar. (a) SSS (b) SAS (c) AAA (d) ASA​

Answer 1

Answer:

Option A Is Correct

Tick This Option Right

Answer 2

Given:

Two triangles with their sides.

To find:

The criteria of similarity by which given triangles are similar.

Solution:

As three sides of both triangles are given, so we try to find out the similarity of triangles by side-side-side (SSS) criteria.

According to SSS criteria, two triangles abc and xyz are similar if the corresponding sides of both triangles are in same proportion. This means-

$\frac{ab}{xy} = \frac{bc}{yz} = \frac{ac}{xz}$

So,

$\frac{5}{7.5} = \frac{4}{6} = \frac{3}{4.5}$

⇒

$\frac{2}{3} = \frac{2}{3} = \frac{2}{3}$

Hence, the ratio of the corresponding sides of both triangles is equal. So, given triangles are similar by SSS criterion.

Answer:

The criteria of similarity by which triangles ABC and XYZ are similar is- (a) SSS.