Question

5*. In fig 3.28 the circles with centres
A and B touch each other at E. Line /
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:

4√6

Step-by-step explanation:

Radii 4 cm and 6 cm.

AB =6+4=10 cm

∠Y=90deg

then ,

BF=6−4=2cm

In △BYA

AY2 =AB2-BY2

=10 ^2 -2^2

AY= √100−4

AY= √96

AY=4 √6

AY∣∣CD

Hence,

CD=4 √6

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