In the given figure, P is any point on the diagonal AC of the parallelogram ABCD. Show that ar(ΔADP) = ar (ΔABP).
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draw the diagonal AC and BD intersecting o and draw DP perpendicular to Ao and join PB
proof in triangle obp PO is the median
area of triangle OPD is equal to area of triangle on ----------1
in triangle abd Ao is the median
area of triangle Ado is equal to area of triangle Aob-------2
subtracting equation 1 and 2
area of triangle APO=Abp
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