In trapezium PQRS. pq is parallel to rs and diagonals pq and rs intersect at point m prove that ar(PQS)=ar(QPR)
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Answer:
In Trapezium PQRS, ΔOPQ is similar to ΔOSR by AA similarity.
∴
OR
OP
=
OQ
OS
=
SR
PQ
∴OP.SR=OR.PQ
Hence, m=1
Step-by-step explanation:
In Trapezium PQRS, ΔOPQ is similar to ΔOSR by AA similarity.
∴
OR
OP
=
OQ
OS
=
SR
PQ
∴OP.SR=OR.PQ
Hence, m=1
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