If triangle ABC is similar to triangle DEF such that BC = 3 cm, EF = 4 cm and area of triangle ABC = 54 sq cm, then the

Question

If triangle ABC is similar to triangle DEF such that BC = 3 cm, EF = 4 cm and area of triangle ABC = 54 sq cm, then the area of triangle DEF is:

Accepted Answer

The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides. Area(ABC)/Area(DEF) = (BC/EF)^2. Therefore, 54/Area(DEF) = (3/4)^2 = 9/16. Area(DEF) = (54 16) / 9 = 6 16 = 96 sq cm.

Triangles

❓ Sibling Questions in this Chapter