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# PQRS is a trapezium with PQ||SR. A line parallel to PR intersects PQ at L and QR at M. Prove that ar(PSL) = ar (PRM)

Asked by Topperlearning User 4th June 2014, 1:23 PM
Answered by Expert
Answer:

ar PSL) = ar (PRL) …(i) [Two triangles having same base (PL) and between same parallels (PL and SR) are equal in area]

ar (PRL) = ar(PRM) ….(ii) [Two triangles having same base (PR) and between same parallels (PR and LM) are equal in area]

From (i) and (ii),

ar(PSL) = ar(PRM)

Answered by Expert 4th June 2014, 3:23 PM
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