Question

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

Answer 1

Answer:

The answer can be calculated using Similar Triangle and BPT

Answer 2

Area (ΔABC) : Area (ΔDEF) :: 9 : 16

Step-by-step explanation:

Given ΔABC and ΔDEF are two triangles such that AB/DE = BC/EF = CA/FD =3/4.

ΔABC is similar to ΔDEF

We know that for similar triangles, the ratio of their areas is equal to the ratio of the square of their proportionate sides.

Area of ΔABC / Area of ΔDEF = AB²  /DE² = (3/4)² = 9/16

Area (ΔABC) : Area (ΔDEF) :: 9 : 16