Wednesday, January 22, 2014

Geometry Problem 965: Triangle, Cevians, Midpoint, Circumcircle, Circle, Tangent Line, Metric Relations

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

Click the figure below to see the complete problem 965.

Online Geometry Problem 965: Triangle, Cevians, Midpoint, Circumcircle, Circle, Tangent Line, Metric Relations

Posted by Antonio Gutierrez at 2:28 PM
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1 comment:

  1. Peter TranJanuary 22, 2014 at 9:41 PM

    we have FH= 25/2=12.5 and FH//CD
    FG//EA and FG= .5*EA
    And ∠ (GHF)= ∠ (EFG)= ∠ (BEF)
    Triangle GFH similar to DBE ….( case AA)
    FH/EB=FG/BD => FG=12.5 x 14/40= 4.375
    So EA= 8.75

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