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

Labels:
cathetus,
common tangent,
excircle,
exradius,
incircle,
right triangle,
tangency point

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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