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![Geometry Problems, Online Education](h_geometry_problem_910.jpg)
Problem 538: Triangle, Perpendicular Bisector, Circumcircle, Midpoint. Level: High School, SAT Prep, College
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The figure shows a triangle ABC inscribed in
a circle O. D is a point on AC, EF is the perpendicular bisector of AD
and GH is the perpendicular bisector of CD. If DN is perpendicular to FH
at M, prove that M is the midpoint of DN.
![Triangle, Circumcircle, Perpendicular Bisector, Midpoint](p538_triangle_circle.gif)
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