Tuesday, November 1, 2011

Problem 681: Gergonne Point, Triangle, Incircle, Tangency points, Concurrent lines, Semiperimeter, Ceva theorem

Geometry Problem
Level: Mathematics Education, High School, Honors Geometry, College.

Click the figure below to see the complete problem 681.

Online Geometry Problem 681: Gergonne Point, Triangle, Incircle, Tangency points, Concurrent lines, Semiperimeter, Ceva theorem
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1 comment:

  1. PravinNovember 2, 2011 at 6:14 PM

    AB':B'C = (s - a):(s - c)
    CA':A'B = (s - c):(s - b)
    BC':C'A = (s - b):(s - a)
    Product = 1
    By Ceva, the result follows.

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