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
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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)