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Math: Geometry Problem 1005: Triangle, Circle, Circumcenter, Interior and Exterior Angle Bisector, 90 Degree, Perpendicular. Level: School, College.

The figure below shows a triangle ABC with circumcenter O. BD and BE are the interior and exterior bisectors of angle B. If Q is the circumcenter of triangle DBE, prove that the measure of angle OBQ is 90 degrees.
 

Geometry Problem 1005: Triangle, Circle, Circumcenter, Interior and Exterior Angle Bisector, 90 Degree, Perpendicular

 


 

 

Home | SearchGeometry | Problems | All Problems | Open Problems | Visual Index | 10 Problems | Problems Art Gallery Art | 1001-1010 | Triangle | Circle | Circumcenter | Circumcircle | Perpendicular lines | Angle Bisector | by Antonio Gutierrez

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Last updated: Sep 19, 2014