In the adjoining figure, D and E are respectively the midpoints of sides AB and AC of ∆ABC. If PQ || BC and CDP and BEQ are straight lines then prove that ar(∆ABQ) = ar(∆ACP).

In the adjoining figure, D and E are respectively the midpoints of sid

1.	In the adjoining figure, D and E are respectively the midpoints of sides AB and AC of ∆ABC. If PQ \|\| BC and CDP and BEQ are straight lines then prove that ar(∆ABQ) = ar(∆ACP).
Answer» In the adjoining figure, D and E are respectively the midpoints of sides AB and AC of ∆ABC. If PQ \|\| BC and CDP and BEQ are straight lines then prove that ar(∆ABQ) = ar(∆ACP).