Wednesday, November 2, 2011

Problem 684: Outer Nagel Point, Triangle, Excircles, Tangency points, Concurrent lines, Semi-perimeter, Ceva theorem

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

Click the figure below to see the complete problem 684.

Online Geometry Problem 684: Outer Nagel Point, Triangle, Excircles, Tangency points, Concurrent lines, Semi-perimeter, Ceva theorem
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2 comments:

  1. PravinNovember 2, 2011 at 9:32 AM

    AB':B'C = (s - a):(s - c)
    CA':A'B = s:(s - a)
    BC':C'A = (s - c): s
    Product = 1
    So AA', BB', CC' are concurrent (by Ceva)

    ReplyDelete
  2. EditorNovember 21, 2011 at 7:09 PM

    Is there a solution using only projective geometry?

    ReplyDelete

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