Q. 154.4( 14 Votes )

ABCD is a paralle

Answer :

Given :- ABCD is a parallelogram


To prove :- BP x DQ = AB x BC


Proof:-








In ΔABP and ΔQDA


<B = <D (Opposite angles of parallelogram)


<BAP = <AQD (Alternative interior angle)


Then, ΔABP ~ ΔQDA


SO, (Corresponding parts of similar triangle area proportion) But, DA = BC (Opposite side of parallelogram)


But DA = BC ( opposite sides of parallelogram)


Then,


Or, AB x BC = QD X BP

Hence proved

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