1.

In figure, ABCD and AEFD are two parallelograms. Prove that `ar (DeltaPEA) = ar (DeltaQFD)`.

Answer» `triangleCPD` and ||gm ABCD are on the same base DC and between the same prallels CD and AB.
`therefore ar(triangleCPD)=(1)/(2)ar("||gm ABCD").`
Similarly, `ar(triangleAQD)=(1)/(2)ar("||gm ABCD").`
` therefore ar(triangleCPD)=ar(triangleAQD).`


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