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Problem 559: Triangle, Cevian, Incenters, Angle, 90 Degrees.
Level: High School, College, Math Education

The figure shows a triangle ABC with a cevian BD. If E is the incenter of triangle ABD and F the incenter of triangle BCD, prove that the measure of angle EDF is 90 degrees.
 

Triangle, Cevian, Incenters
 

 

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Geometry problems 541-550