Mathematics

Problem

\triangle PQR

\angle Q = 90^\circ

. The perpendicular from

Q

to the hypotenuse

PR

meets

PR

S

. Given

PQ = 15\,\text{cm}

and

QR = 20\,\text{cm}

, solve the following: a. (i) Calculate the length of

PR

. b. (ii) Find the length of the altitude

QS

. c. (iii) Determine the lengths of the segments

PS

and

SR

on the hypotenuse.