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

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## 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) $$16 : 81$$

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