Geometry, Theorems and Problems

Geometry Problem 1231: Triangle, Orthocenter, Incenter, Circumcenter, Angle Bisector, Center, Circle. Tiled background image: Intihuatana, Machu Picchu. Level: College, High School.

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In a triangle ABC, H is the orthocenter, I the incenter, and O the circumcenter. Prove that BI is the bisector of angle HBO.

 

Geometry Problem 1231: Triangle, Orthocenter, Incenter, Circumcenter, Angle Bisector, Center, Circle.
 
 

 

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Last updated: Jul 5, 2016