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Online Geometry Problem 660: Triangle, Circle, Diameter, Perpendicular Lines. Level: High School, Honors Geometry, College, Mathematics Education

The figure shows a triangle ABC. The circle with diameter AC meet BC and BA extended at D and E, respectively. DF and EG are perpendicular to AC. If GD and EF meet at H, prove that HB is perpendicular to AC.
See also: Art of Problem 660 using Mobile Apps

Triangle, Circle, Diameter, Perpendicular
 

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