Question

5*. In fig 3.28 the circles with centres
A and B touch each other at E. Line l
is a common tangent which touches
the circles at C and D respectively
Find the length of seg CD if the radii of the circles are 4 cm, 6 cm.
​

Answer 1

Answer:

Radii 4 cm and 6 cm.

AB =6+4=10 cm

∠Y=90

o

then ,

BF=6−4=2cm

In △BYA

AY

2

=AB

2

−BY

2

=10

2

−2

2

AY=

100−4

AY=

96

AY=4

6

AY∣∣CD

Hence,

CD=4

6

solution