# In the diagram, CD is tangent to circles A and

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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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,

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, $\therefore AB=BE+AE\left[\because CB=BE\right]$
$⇒17=CB+AE$
$⇒17=6+AE$
$⇒AE=17-6$
$⇒AE=11$
$\therefore AD=AE=11$
$\therefore AD=11$