Question

The areas of two similar triangles are in respectively 9 cm² and 16 cm². The ratio of their corresponding sides is ______.

विकल्प

•  3 : 4

• 4 : 3

•  2 : 3

• 4 : 5

Answer 1

The areas of two similar triangles are in respectively 9 cm² and 16 cm². The ratio of their corresponding sides is  3 : 4.

Explanation:

Given: Areas of two similar triangles are 9cm² and 16cm².

To find: Ratio of their corresponding sides.

We know that the ratio of areas of two similar triangles is equal to the ratio of squares of their corresponding sides.

`\text{ar(tringle 1)}/\text{ar(tringle 2)}=(\text{side1}/\text{side2})^2`

`9/16 = (\text{side1}/\text{side2})^2`

Taking square root on both sides, we get

\[\frac{\text{side1}}{\text{side2}} = \frac{3}{4}\]

So, the ratio of their corresponding sides is 3 : 4.

Hence the correct answer is `a`