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Geometry Problem 1207: Triangle, Circle, Incenter, Circumcenter, Excenter, Circumradius, Perpendicular, 90 Degrees. Online High School, College.

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The figure shows a triangle ABC with incenter I, circumcircle O, excenter E corresponding to AC and circumradius R. ED is perpendicular to AC so that D is on IO extended. Prove that DE = 2R
  

Geometry Problem 1207: Triangle, Circle, Incenter, Circumcenter, Excenter, Circumradius, Perpendicular, 90 Degrees.
  

See also:
Triangles
Circle
Incenter
Circumcircle
Excenter
Angle Bisector
Congruence

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Last updated: Apr 14, 2016