Question

PQRS is a trapezium having PS and QR as parallel sides. A is any point on PQ and B is a point on SR such that AB is parallel to QR. If area of triangle PBQ is 17 cm square, find the area of triangle ASR.

Answer 1

Between PS and AB which are parallel to each other..

We have

Area of triangle pab = area of triangle s a b

This theorem is area of triangles between two parallels with the same base is equal.

Similarly between the parallels a b and qr

With same base as ab

We have area of triangle abq =area of triangle a b r

p a b + a b cube = pbq

S a b +abr = SaR

with euclid's axiom when equals are added to equals the wholes are equal... We get area of triangle pbq = area of triangle s a r

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