Saturday, January 8, 2011

Problem 565: Triangle, Isogonal lines, Angles, Congruence, Concyclic Points

Geometry Problem
Click the figure below to see the complete problem 565.

Problem 565: Triangle, Isogonal lines, Angles, Congruence, Concyclic Points.
Zoom at: Geometry Problem 565

Posted by Antonio Gutierrez at 3:36 PM
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1 comment:

  1. Peter TranJanuary 8, 2011 at 6:52 PM

    http://img228.imageshack.us/img228/5908/problem565.png

    Draw 3 angle bisectors of angles A, B, C per attached picture.
    Triangle BIF congruent to tri. BIG ( Case SAS) so IF=IG
    Triangle DIA congruent to tri. EIA ( Case SAS) so IE=ID
    Triangle EIC congruent to tri. GIC ( Case SAS) so IE=IG

    So IE=IG=IF=ID and D,E,G and F are concyclic

    Peter Tran

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