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Two circles, centered at A and B are externally tangent to each other, and tangent to a line L. A third circle, centered at C is externally tangent to the first two circles, and the line L. If the radii of circle A and circle B are 9 and 25, respectively, then what is the radius of circle C?

 Feb 5, 2022
 #1
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I am noty seeing how that is possible.

I mean I do not see how a third circle can be externally tangential to both the other 2 as well as tangential to line l.

 Feb 6, 2022
 #2
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??.

There's a sort of triangular region (with two curvy lines) enclosed by the two circles and the tangent.

The third circle lies within that.

 Feb 6, 2022
edited by Guest  Feb 6, 2022
 #3
avatar+117109 
+1

ok I do not have the answer but I do have a diagram.

There are 2 different circles that meet this disecription

The little one has centre C1 and the big one centred at C2

 

 Feb 7, 2022

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