# 1) ABC is an isosceles triangle with AB=AC. P is any point on BC. perpendiculars PQ and PR are drawn to sides AB and AC respectively. also CS perpendicular to AB. prove that CS=PQ+PR.2) M and N are midpoints of sides DC and AB respectively of parallelegram ABCD.show that ar(BEC) =ar(MCBN) when it is given that BD parallel to EC.3) In triangle ABC P and Q are the midpoints of sides AB and AC respectively.R and S are the midpoints of PC and PB respectively.prove that BQ and SR bisect each other.

Given    ABC is an isosceles triangle with AB=AC .$PQ\perp AB,PR\perp AC,CS\perp AB$
To prove  CS =PQ+PR

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