Question

The sides of the two similar triangles are in the ratio 2 is to 3,then their areas are in the ratio

Answer 1

Ratio of area of two similar triangle is equal to square of the ratio their corresponding sides.
So area of triangle 1 / area of triangle 2 = ( 2/3) whole square
= 4/9
So the ratio of areas are 4/9

Answer 2

Answer: The ratio of the areas of the two similar triangle whose sides are in ratio 2:3 is 4: 9

Step-by-step explanation:

Given : The side of two similar triangles are in ratio 2: 3

To find : The ratio of their areas

As we know by the theorem that if we have two similar triangles  then ratio of the areas is equal to the square of corresponding sides of that similar triangles

Therefore

$\dfrac{ar \triangle_1}{ar \triangle_2} =( \dfrac{2}{3} )^2 = \dfrac{9}{4}$

Therefore, the ratio of the areas of the two similar triangle is 4: 9