Twins in the Trigon
Geometry
Level
5
The figure above shows two equal circles of radius \(r\) that are inscribed inside a triangle with side lengths 3, 4, 5.
The two circles share 1 tangent point.
If \(r\) can be expressed as \( \frac AB\), where \(A\) and \(B\) are coprime positive integers, find \(A+B\).
by
W Rose