Let ABC have side lengths AB=13, AC=14, and BC=15. There are two circles located inside <BAC which are tangent to rays AB, AC , and segment BC. Compute the distance between the centers of these two circles.

Answer 1

Take a look at

http://gogeometry.blogspot.com/2011/06/problem-626-triangle-distance-from.html

For a solution to this kind of problem.