In ( PQR ), ( Q = 90^ )

MATHEMATICS · Multi-part · CBSE · Mathematics · The Baudhayana-Pythagoras Theorem · The Baudhayana-Pythagoras Theorem

Problem

In △PQR\triangle PQR, ∠Q=90∘\angle Q = 90^\circ. The perpendicular from QQ to the hypotenuse PRPR meets PRPR at SS. Given PQ=15 cmPQ = 15\,\text{cm} and QR=20 cmQR = 20\,\text{cm}, solve the following: (i) Calculate the length of PRPR. (ii) Find the length of the altitude QSQS. (iii) Determine the lengths of the segments PSPS and SRSR on the hypotenuse.

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