Thursday, May 3, 2012

Problem 746: Triangle, Cevian, Parallel, Similarity, Harmonic Mean, Metric Relations

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

Click the figure below to see the problem 746 details.

Online Geometry Problem 746: Triangle, Cevian, Parallel, Similarity, Harmonic Mean, Metric Relations.

Posted by Antonio Gutierrez at 9:50 AM
Labels: , , , , ,

2 comments:

  1. Peter TranMay 3, 2012 at 10:38 AM

    Triangle ABE similar to triangle FCB …. ( case AA)
    So b/a= BF/AB
    Triangle ABD similar to triangle AFC….( Case AA)
    So b/x=AF/AB=(AB+BF)/AB=1+BF/AB=1+b/a
    And x=ab/(a+b)

    ReplyDelete
  2. PravinMay 4, 2012 at 3:39 AM

    x/a + x/b = DC/AC + AD/AC = 1
    x = ab/(a + b)

    ReplyDelete

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