See complete Problem 201 at:

www.gogeometry.com/problem/p201_right_triangle_tangent_excircle.htm

Right Triangle, Excircles, Points of Tangency, Exradius, Semiperimeter. Level: High School, SAT Prep, College geometry

Post your solutions or ideas in the comments.

## Tuesday, November 4, 2008

### Elearn Geometry Problem 201: Right Triangle, Excircles, Semiperimeter

Labels:
excircle,
exradius,
right triangle,
semiperimeter,
tangency point

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name K circle meet BC, L circle meet AC, T meet BA

ReplyDeletes = (a + b + c)/2

s = (EB + CD + AC + r - EB) ( EB=BK,KC=CD,)

s = (2r)/2 ( CD + AC = r )

s = r

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BF = BH

BF = BK + KC + CH

BF = BE + CD + LC ( seg equal from a point )

BF = BE + LD ( CD + LC = LD )

BF = r - c + r - AF ( AL = AF, tg from A)

2BF = 2r ( c + AF = BF )

BF = r

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using CG = CM =>

CG = r

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BF =