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In the figure, P is a point in the inter...

In the figure, P is a point in the interior of a parallelogram ABCD. Show that
(i) ar`(triangleAPB)+ar(trianglePCD=1/2ar(ABCD)`
(ii) ar`(triangleAPD)+ar(trianglePBC)=ar(triangleAPB)+ar(trianglePCD)`

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