# Ex.6.4 Q9 Triangles Solution - NCERT Maths Class 10

Go back to 'Ex.6.4'

## Question

Sides of two similar triangles are in the ratio \(4 : 9.\) then the areas of these triangles are in the ratio

(a) \(2: 3\)

(b) \(4 : 9\)

(c) \(81 : 16\)

(d) \(16 : 81\)

Video Solution

Triangles

Ex 6.4 | Question 9

## Text Solution

**Reasoning:**

The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides.

**Steps: **

We know that,

The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides.

\[ = {(4\;:\;9)^2}\\= 16 : 81\]

The answer is (d) \(16 : 81\)