Online Geometry Problems

Online Geometry Problem 790: Right Triangle, Altitude, Angle Bisector, Incircle, Tangency Point, Inradius, Circles, Tangent Line, Congruence. Level: High School, SAT Prep, College, Mathematics Education

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 Inradius, Formula to prove.
 

Right triangle, Altitude, Incenters, Congruence
 


 

Home | SearchGeometry | Problems | All Problems | Open Problems | Visual Index | 10 Problems | 781-790 | TrianglesRight Triangle | Circles | Tangent Line | Incircle | Angle Bisector | Altitude | Right triangle, Altitude and Incircle | Email | Solution / comment | By Antonio Gutierrez