Online Geometry Problem 790: Right Triangle, Altitude, Angle Bisector, Incircle, Tangency Point, Inradius, Circles, Tangent
Line, Congruence. Level: High School,
SAT Prep, College,
The figure below shows a right triangle ABC
with the incenter I, the inradius r, the altitude BH and the bisector BD of the angle HBC.
I1 is the incenter of the triangle AHB and I2 is the incenter of
triangle BHC. Prove that