Question

In the given figure, the ratio AD to DC is 3 to 2. If the area of Δ ABC is 40 cm², what is the area of Δ BDC?

Answer 1

Area of triangle ABC is given 40 cm².

Also

We are asked to find the area of the triangle BDC

Let us take BE perpendicular to base AC in triangle ABC.

We assume AC equal to y and BE equal to x in triangle ABC

Area of triangle ABC, say A is given by

We are given the ratio between AD to DC equal to 3:2

So,

In triangle BDC, we take BE as the height of the triangle

Area of triangle BDC, say A₁ is given by

Therefore, the answer is (a).