Triangle PQR is right-angled at Q and triangle QRS is right-angled at R

MATHEMATICS · Single correct · CBSE · Mathematics · The Baudhayana-Pythagoras Theorem · The Baudhayana-Pythagoras Theorem

Problem

Triangle PQR is right-angled at Q and triangle QRS is right-angled at R. The two triangles share side QR. Which of the following statements is always true? (a) QR is the longest side of both triangles. (b) The length of QRQR is less than each of the two hypotenuses. (c) The two hypotenuses are equal in length. (d) The sum of the two hypotenuses is always twice the length of QRQR.

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