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Infographic Geometry Problem 1054: Triangle, Altitude, Orthocenter, Circumcenter, Circle, Perpendicular, Midpoints. Level: High School, SAT Prep, College, Mathematics Education

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In a triangle ABC the altitudes AD and CE meet at H (see the figure below). M, N, and F are the midpoints of AH, CH, and AC, respectively. If O is the circumcenter of triangle MFN and OG is perpendicular to MN, prove that BH = 4.OG.
 

Infographic Geometry problem: Triangle, Altitude, Orthocenter, Circumcenter, Perpendicular, Midpoints
 
 


 

 

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Last updated: Dec 2, 2014