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?
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.
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.