If and are two triangles such that , then write Area (): Area ().

Question

If  and  are two triangles such that  , then write Area (): Area ().

Philoid · Accepted Answer

Given that ΔABC and ΔDEF are two triangles such that

Here, the corresponding sides are given proportional.

We know that two triangles are similar if their corresponding sides are proportional.

And we know that the ratio of areas of two similar triangles is equal to the square of the ratio of their corresponding sides.

∴ Area (ΔABC): Area (ΔDEF) = 9: 16