In a Δ ABC, P and Q are respectively the mid-points of AB and BC and R is the mid-point of AP. Prove that:(i) ar (Δ PBQ) = ar (Δ ARC)(ii) ar (Δ PRQ) = 12 ar (Δ ARC)(iii) ar (Δ RQC) = 38 ar (Δ ABC).

In a Δ ABC, P and Q are respectively the mid-points of AB and BC and

1.	In a Δ ABC, P and Q are respectively the mid-points of AB and BC and R is the mid-point of AP. Prove that:(i) ar (Δ PBQ) = ar (Δ ARC)(ii) ar (Δ PRQ) = 12 ar (Δ ARC)(iii) ar (Δ RQC) = 38 ar (Δ ABC).
Answer» In a Δ ABC, P and Q are respectively the mid-points of AB and BC and R is the mid-point of AP. Prove that: (i) ar (Δ PBQ) = ar (Δ ARC) (ii) ar (Δ PRQ) = $\frac{1}{2}$ ar (Δ ARC) (iii) ar (Δ RQC) = $\frac{3}{8}$ ar (Δ ABC).