Question

The sides of two similar triangles are in the ratio$4:9.$Areas of these triangles are in the ratio

• A. $4:9$
• B. $3:5$
• C. $81:16$
• D. $16:81$

Answer 1

The correct option is D

$16:81$

If two triangles are similar to each other, then the ratio of the area of this triangle will be equal to the square of the ratio of the corresponding sides of this triangle.

Given the sides of two similar triangles are in the ratio . $4:9$

Ratio of area of the triangles $=4^2:9^2$

$=16:81$

Hence option $D$ is the answer.