The only information provided is the lengths of the sides of the triangle
Question: Find the radius of the circle. Ans:2cm
Lets call the point of intersection (for the one above ) be P and the one below, Q, and the one by the side, R.
AP=AR=x and RB=BQ=y
CP=13-x and CQ=12-y
Solving the simultaneous equation yields x=3, y=2.
tan 11.3 = radius / 10