Answer-In a triangle PQR, S is a point on the side QR such that PS&perp;QR, then which of the following opt...

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Since PS is perpendicular to QR, PS acts as the height from vertex P to the base QR in the right triangle PSQ and PSR. In PSQ right triangle PQ  PS  QS by Pythagoras In PSR right triangle PR  PS  SR by Pythagoras Adding these two equations PQ  PR  PS  QS  PS  SR Simplifying PQ  PR  2PS  QS  SR Since S is a point on QR QS  SR  QR Therefore, PR  QS  PQ  SR

In a triangle PQR, S is a point on the side QR such that PS⊥QR, then which of the following options is true?

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