Geometry Problem 1136: Triangle, Circumcircle, Orthocenter, Midpoint, Arc, 90 Degrees, Angle. Level: High School, SAT Prep, Honors Geometry, College, Math Education

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In a triangle ABC with circumcircle O and orthocenter H, M is the midpoint of AC. MH extended meets the arc BC at D. Prove that the measure of angle BDM is 90 degrees.

Infographic Geometry problem 1136 Triangle, Circumcircle, Orthocenter, Midpoint, Arc, 90 Degrees, Angle