Question

EXERCIS
1. Find the area of the following polygons:
(b)
M
(a)
25 cm
13 cm
P 18 cm​

Answer 1

Step-by-step explanation:

Given: PS QR = 25 cm, PQ = 18 cm and

SR = 32 cm

Draw a perpendicular from P on SR at X, and from Q on SR at Y

thus, PX=QY=diameter

Now, In APSX and AQRY

PS=QR (Given)

ZPXS=ZQYR (Each 90)

PX=QY (distance between parallel lines)

hence, APSX AQRY (SAS rule)

thus, SX-RY=

2

32-18

=7

Now, In APSX, Using Pythagoras

Theorem,

PS

2=PX

2

+SX

2

25

2

=PX

2

+7

2

PX=24 cm