In the diagram, CD is tangent to circles A and

jippie771h 2021-11-23 Answered
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In the diagram, CD is tangent to circles A and B, and he circles are tangent to each other. Answer this question If CD = 15 and AB = 17 and CB = 6, find AD = ?

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Expert Answer

menerkupvd
Answered 2021-11-24 Author has 983 answers
Given, In the diagram, CD is tangent to circles A nad B amd the circles are tangent to each other.
CD=15, AB=17 and CB=6
Now,
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From the diagram, we can say that CB and BE is the radius of the circle B and AD and AE is the radius of the circle A.
So, \(\displaystyle\therefore{A}{B}={B}{E}+{A}{E}{\left[\because{C}{B}={B}{E}\right]}\)
\(\displaystyle\Rightarrow{17}={C}{B}+{A}{E}\)
\(\displaystyle\Rightarrow{17}={6}+{A}{E}\)
\(\displaystyle\Rightarrow{A}{E}={17}−{6}\)
\(\displaystyle\Rightarrow{A}{E}={11}\)
\(\displaystyle\therefore{A}{D}={A}{E}={11}\)
\(\displaystyle\therefore{A}{D}={11}\)
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