PQRS is a quadrilateral. A line through S parallel to PR meets QR produced in X. Show that ar
(PQRS)ar (PXQ).
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Triangle PRX and triangle PRS lie on same base and between same parallels therefore
Area PRX = area PRS
AREA PRX + AREA PQR = AREA PRS + AREA PQR
AREA PXQ= AREA PQRS
Area PRX = area PRS
AREA PRX + AREA PQR = AREA PRS + AREA PQR
AREA PXQ= AREA PQRS
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