If ABCD is a parallelogram , then prove that : ar(ABD) = ar (BCD) = ar(ABC) = ar(ACD) = 1/2 ar(ABCD).

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A diagonal divides a Parallelogram into 2 triangles of equal area

Hence, ar(ABD) = ar(BCD) = ar(ACD) = 1/2 ar(ABCD).

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