In a triangular field (PQR ), ( P = 90^ ) with (PQ = 24

MATHEMATICS · Multi-part · CBSE · Mathematics · The Baudhayana-Pythagoras Theorem · The Baudhayana-Pythagoras Theorem

Problem

In a triangular field

PQR

\angle P = 90^\circ

with

PQ = 24\,\text{m}

and

PR = 32\,\text{m}

. A drainage channel is to be dug from

P

perpendicular to

QR

, meeting

QR

S

. (i) Find the length of

QR

. (ii) Calculate the length of the drainage channel

PS

. (iii) The channel divides the field into two smaller triangular plots,

\triangle PQS

and

\triangle PRS

. Find the area of each plot.