Najas

answers: 1

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Answer:

AB=13cm

Radius of circle with center A=8cm

Radius of circle with center A=1cm

Let radius of third circle =r

∠ABC=90°

In △ABC

AB

2

+BC

2

=AC

2

AC=AD+DC=8+r

BC=1+r

AB=13

13

2

+(1+r)

2

=(8+r)

2

169=(8+r+1+r)×(8+r−1−r)

=(2r+9)×7

2r+9=

7

169

2r=

7

169

−9

r=

14

106

r=7.57cm

365

Miranius

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