Question

In the figure, BP: PQ: QC = 1:2:1. Area of triangle APQ is 8 sq.cm.
i) Find the area of triangle ABP
ii) Find the area of triangle ABC

Answer 1

Answer:

a. BP : PQ = 1:2

Area of ∆ ABP is half the area of ∆ APQ.

Area of ∆ ABP = 12 x 8 = 4 sq.cm

b. Area of ∆ ABC = 4 + 8 + 4 = 16 sq.cm