rahul made a poster in a shape of parallelogram ABCD and marked the mid-points P,Q,R,S respectively of the sides AB,BC,CD,DA. show that ar(parallelogram PQRS)=1/2 ar(parallelogram ABCD)
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hey the answer is ....
ABCD IS A PARALLELOGRAM
PQS AND ABCD ARE ON SAME BASE AND BETWEEN SAME PARALLELS
QS AND QS// AD
area of PQS = 1/2 ADQS(1)
SIMILARLY
QSR = 1/2 QSCB (2)
ADD 1 & 2
PQS + QSR = 1/2 ( ADQS + QSCB )
PQRS = 1/2 ( ABCD)
hence shown
hope it helps uu frnd. .
ABCD IS A PARALLELOGRAM
PQS AND ABCD ARE ON SAME BASE AND BETWEEN SAME PARALLELS
QS AND QS// AD
area of PQS = 1/2 ADQS(1)
SIMILARLY
QSR = 1/2 QSCB (2)
ADD 1 & 2
PQS + QSR = 1/2 ( ADQS + QSCB )
PQRS = 1/2 ( ABCD)
hence shown
hope it helps uu frnd. .
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