Thursday, June 16, 2011

Problem 623: Triangle, Incenter, Excenter, Incircle, Excircle, Concyclic Points

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

Click the figure below to see the complete problem 623.

Online Geometry Problem 623: Triangle, Incenter, Excenter, Incircle, Excircle, Concyclic Points.

Posted by Antonio Gutierrez at 1:02 PM

2 comments:

  1. ∠IBE = B/2 + (180°-B)/2 = 90°
    Similarly ∠ICE = 90°
    So ∠IBE + ∠ICE = 180° and I,B,E,C are concyclic

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  2. internal and external angle bisector are perpendicular; so the result follows

    ReplyDelete

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