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Draw two triangles ABC and DBC on the sa...

Draw two triangles ABC and DBC on the same base and between the same parallels as shown in the figure with P as the point of intersection of AC and BD. Draw CE || BA and BF || CD such that E and F lie on line AD.
Can you show `ar(DeltaPAB) = ar(DeltaPDC)`
Hint : These triangles are not congruent but have equal areas.

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