In the figure. PQR is a triangle with PQ = PR and RPQ=90°. Semi-circles are drawn on PQ and PR as diameters. S is any point on the semi-circle with diameter PQ. PS is produced to cut the other semi-circle at T. PQ and PR are tangents to circles PTR and PQS respectively. Prove that: 7.1 QS = PT OV PT 7.2 RV RT S V 2 R (4) (6) [10]

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