\( \mathrm{P} \) and \( \mathrm{Q} \) are respectively the mid-points of sides \( \mathrm{AB} \)...
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0\( \mathrm{P} \) and \( \mathrm{Q} \) are respectively the mid-points of sides \( \mathrm{AB} \) and \( \mathrm{BC} \) of a triangle \( \mathrm{ABC} \) and \( \mathrm{R} \) is the mid-point of AP, show that
P
(i) \( \operatorname{ar}( \) PRQ \( )=\frac{1}{2} \operatorname{ar}( \) ARC \( ) \)
(ii) \( \operatorname{ar}(\mathrm{RQC})=\frac{3}{8} \operatorname{ar}(\mathrm{ABC}) \)
- (iii) \( \operatorname{ar}(\mathrm{PBQ})=\operatorname{ar}(\mathrm{ARC}) \)
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