Q. 155.0( 6 Votes )

In Fig., ABCD and AEFD are two parallelograms. Prove that ar(Δ PEA) = ar(Δ QFD).


Answer :

Proof:


In triangles PEA and QFD, we have


APE = DQF (Corresponding angles)


AE = DF (Opposite sides of II" AEFD)


AEP = DFQ (Corresponding angles)


PEA QFD (AAS congruence criterion)


As congruent triangles have equal area.


ar (PEA) ar (QFD)


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