See complete Problem 202 at:
gogeometry.com/problem/p202_right_triangle_tangent_excircles.htm
Right Triangle, Incircle, Excircles, Points of Tangency, Exradius relatives to catheti, Semiperimeter. Level: High School, SAT Prep, College geometry
Post your solutions or ideas in the comments.
Friday, November 7, 2008
Elearn Geometry Problem 202: Right Triangle, Excircles, Semiperimeter
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name K circle meet BC, T circle meet CB
ReplyDeleteb + a + c = 2s
r + DC + BK - DC + BE - r = 2s ( CK = CD,)
2BK = 2s
BK = s
c + r = s
r = s - c ( r = Rb)
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b + a + c = 2s
CM - r + CT - BT + r + BG = 2s
2CM = 2s
CM = s
r + b = s
r = s - b ( r = Rc)
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for others see P200, P201