See complete Problem 204 at:

gogeometry.com/problem/p204_right_triangle_inradius_exradii.htm

Right Triangle, Inradius, Exradii, Incircle, Excircles. Level: High School, SAT Prep, College geometry

Post your solutions or ideas in the comments.

## Wednesday, November 12, 2008

### Elearn Geometry Problem 204: Right Triangle, Inradius, Exradii

Labels:
exradius,
inradius,
right triangle

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r = [ AB - BC + CA ]/2

ReplyDeleter(b) = [ - AB + BC + CA ]/2

r(c) = [ AB + BC - CA ]/2

So,

r + r(b) + r(c)

= [ AB + BC + CA ]/2

r(a) = = [ AB + BC + CA ]/2

So,

r + r(b) + r(c) = r(a)