Question

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

Options

• 2 : 3

• 4 : 9

• 9 : 4

• 16 : 81

Answer 1

16 : 81

Explanation:

Areas of similar triangles are proportional to the square of the ratio of corresponding sides.

So, `(4/9)^2 = 16/81`.

Therefore, the areas are in the ratio 16 : 81.