​ If △ABC and △DEF are two triangles such that AB/DE = BC/EF = CA/FD = 3/4 , then write Area (△ABC): Area (△DEF). ​

Question

If △ABC and △DEF are two triangles such that \(\frac{AB}{DE}\) = \(\frac{BC}{EF}\) = \(\frac{CA}{FD}\) = \(\frac{3}{4}\) , then write Area (△ABC): Area (△DEF).

Answer 1

Given 

that ΔABC and ΔDEF are two triangles such that \(\frac{AB}{DE}\) = \(\frac{BC}{EF}\) = \(\frac{CA}{FD}\) = \(\frac{3}4\)

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