Geometry Problem
Level: Mathematics Education, High School, Honors Geometry, College.
Click the figure below to see the complete problem 681.
Tuesday, November 1, 2011
Problem 681: Gergonne Point, Triangle, Incircle, Tangency points, Concurrent lines, Semiperimeter, Ceva theorem
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AB':B'C = (s - a):(s - c)
ReplyDeleteCA':A'B = (s - c):(s - b)
BC':C'A = (s - b):(s - a)
Product = 1
By Ceva, the result follows.