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
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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 =