Question

The ratio of the areas of two similar triangles is 49 : 100. Find the ratio of the lengths of their corresponding sides.

Answer 1

For similar triangles,

`"Area"_1/"Area"_2 = ("corresponding side"_1/"corresponding side"_2)^2`

Given,

Area ratio = 49 : 100

So,

`("side"_1/"side"_2)^2 = 49/100`

`"side"_1/"side"_2 = sqrt(49/100)`

`"side"_1/"side"_2 = 7/10`

∴ Ratio of corresponding sides = 7 : 10