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Question

PQR is a triangle in which PQ = PR and S is any point on the side PQ. Through S, a line is drawn parallel to QR and intersecting PR at T. Prove that PS = PT.

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Solution

Given : In ΔPQR,PQ=PR

S is a point on PQ and PT || QR

To prove : PS = PT

Proof : ST || QR

S=Q and T=R

(Corresponding angles)

But Q=R ( PQ=PR)

PS=PT (Sides opposite to equal angles)


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