 |
|
|
Online Geometry Problem 765: Triangle, Inradius, Exradii, Three
Exradius, Harmonic
Mean.
Level: High School, Honors Geometry, College,
Mathematics Education
|
|
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,
 .
|
|
|
|
|
|
 |
|
