Go Geometry Problems

Geometry Problem 765: Triangle, Inradius, Exradii, Three Exradius, Harmonic Mean. Level: High School, College.

The figure shows a triangle ABC with the inradius r and the exradii ra, rb, rc. Prove that the inradius is one-third the harmonic mean of the exradii, therefore, Formula to prove.

Triangle, Inradius, Exradii, Harmonic Mean


Home | SearchGeometry | Problems | All Problems | Open Problems | Visual Index | 761-770 | TrianglesExradius | Inradius | Harmonic Mean | Email | Solution / comment | By Antonio Gutierrez