Online Geometry Problems

Online Geometry Problem 837: Triangle, Orthocenter, Circumcenter, Circle, Concyclic Points. Level: High School, SAT Prep, College, Mathematics Education

The figure below shows a triangle ABC with orthocenter O. If O is the circumcenter of a triangle BFG, prove that the points A,F,O,G,C are concyclic (lie on a same circle).
 

Triangle, Orthocenter, Circumcenter, Circle, Concyclic points
 


 

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