Question

In $\Delta ABC$, P divides the side AB such that AP : PB =1 : 2. Q is a point in AC sucht that PQ||BC. Find the ratio of the areas of $\Delta APQ$ and trapezium BPQC.

Answer 1

Given: In the triangle ABC , P and Q are the points on AB and AC respectively such that PQ//BC.

now,

In triangle ABC,

ar(ABC) = ar(PBCQ) + ar(APQ)

or

ar(PBCQ) = ar(ABC) -ar(APQ)