Question 4 In Δ ABC, D is the mid-point of AB and P is any point on BC. If CQ || PD meets AB in Q (shown in figure), then prove that ar(ΔBPQ)=12ar(ΔABC).

Question 4 In Δ ABC, D is the mid-point of AB and P is any point on B

1.	Question 4 In Δ ABC, D is the mid-point of AB and P is any point on BC. If CQ \|\| PD meets AB in Q (shown in figure), then prove that ar(ΔBPQ)=12ar(ΔABC).
Answer» Question 4 In $Δ$ ABC, D is the mid-point of AB and P is any point on BC. If CQ \|\| PD meets AB in Q (shown in figure), then prove that $a r (Δ B P Q) = \frac{1}{2} a r (Δ A B C)$ .