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Geometry Problem 944: Triangle, Orthocenter, Altitude, Perpendicular, 90 Degrees, Parallel Lines. Level: High School, College, Mathematics Education

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As illustrated, H is the orthocenter of triangle ABC and AD and CE are altitudes. A line through H meets AB and BC at F and G, respectively. FJ is perpendicular to AD at J and GK is perpendicular to CE at K. Prove that JE and DK are parallel.

 

Geometry Problem 944: Triangle, Orthocenter, Altitude, Perpendicular, 90 Degrees, Parallel Lines

 

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