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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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Given that PQR is a triangle such that PQ = PR and S is any point on the side PQ and ST||QR.

We have to prove PS = PT

Since, PQ = PR ΔPQR is isosceles

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