Online Geometry Problems

Online Geometry Problem 755: Equilateral Triangle, Circumcircle, Chord, Arc, Midpoints, Perpendicular. Level: High School, College, Mathematics Education

The figure shows an equilateral triangle ABC with circumcircle O. E is the midpoint of a chord AD and F is the midpoint of arc BC. If FG is perpendicular to CD, prove that the triangle BEG is equilateral. This entry contributed by Ajit Athle.

Equilateral triangle, Circumcircle, Midpoint, Arc, Chord, Perpendicular

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