Question

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

answer is:16:81

Answer 1

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

It is given that the sides are in the ratio 4:9

Therefore, ratio between areas of these triangles =

$( \frac{4}{9} ) ^{2} \\ = \frac{16}{81}$

Therefore, The correct answer is 16:81

Answer 2

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

It is given that the sides are in the ratio 4:9

Therefore, ratio between areas of these triangles =

\begin{gathered}( \frac{4}{9} ) ^{2} \\ = \frac{16}{81} \end{gathered}

(

9

4

)

2

=

81

16