PQRS is a trapezium, in which SR\\PQ, and SR is 5 cm longer than PQ. If the area of the trapezium is 186cm2 and the height is 12cm, find the length of the parallel sides.
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PQ||RS
∠QPA=∠ASR
∠QRA=∠ARS
∠PAQ=∠SAR
AAA similarity Theorem
ΔAPQ∼ΔARS⇒
AR
AP
=
SR
PQ
=
AS
AQ
AR=5AP
⇒
5AR
AP
=
SR
PQ
⇒
5
1
=
SR
PQ
⇒SR=5PQ
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