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Observe the figure carefully .
∆ BAC and ∆ EAC lie on the same base AC and
between the same parallels AC and BE.
Therefore, ar(BAC) = ar(EAC) ----- [By Theorem 9.2 (Two triangles on the same base (or equal bases) and between the same parallels are equal in area.)]
So, ar(BAC) + ar(ADC) = ar(EAC) + ar(ADC) ------(Adding same areas on both sides)
or ar(ABCD) = ar(ADE)
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