In Fig. 9.16, P is a point in the interior of a
parallelogram ABCD. Show that
() ar (APB)+ ar (PCD) = 1/2= ar (ABCD)
(i) ar (APD) + ar (PBC)=ar (APB)+ ar (PCD)
[Hint: Through P, draw a line parallel to AB.]
In Fig. 9.17, PQRS and ABRS are parallelograms
and X is any point on side BR. Show that
(1) ar (PQRS)=ar (ABRS)
(ii) ar (AX S) = = ar (PQRS)
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