For a right triangle with right angle at

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

Problem

For a right triangle

\triangle PQR

with right angle at

Q

, let

QS

be the altitude to hypotenuse

PR

. If

QS = h

PS = m

and

SR = n

, which of the following statements is always true? (a)

h = m + n

(b)

h^{2} = m^{2} + n^{2}

(c)

h^{2} = mn

(d)

h = mn