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