In a right-angled triangle (PQR ) with ( R = 90^ )

MATHEMATICS · Subjective · CBSE · Mathematics · The Baudhayana-Pythagoras Theorem · The Baudhayana-Pythagoras Theorem

Problem

In a right-angled triangle

PQR

with

\angle R = 90^\circ

, the sides

PR = 9\,\text{cm}

and

QR = 40\,\text{cm}

. (i) Calculate the length of the hypotenuse

PQ

. (ii) Determine the measures of the acute angles

\angle P

and

\angle Q

correct to the nearest minute. (iii) For

\angle P

, verify that

\sin^2 \angle P + \cos^2 \angle P = 1

using your calculated values.