Question

IF THE SIDES OF TWO SIMILAR TRIANGLES ARE IN RATIO 4:9,THEN FIND THE RATIO OF AREA OF THESE TRIANGLES.

Answer 1

the ratio of area of triangle is 2:3 .

Answer 2

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

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

Therefore, ratio between areas of these triangles = (4/9)2 = 16/81