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Perpendicular (Posted on 2012-12-26) Difficulty: 3 of 5
Let ABC be a triangle and D the foot of the altitude from A. Let E and F lie on a line passing through D such that AE is perpendicular to BE, AF is perpendicular to CF, and E and F are different from D. Let M and N be the midpoints of the segments BC and EF, respectively. Prove that AN is perpendicular to NM.

No Solution Yet Submitted by Danish Ahmed Khan    
Rating: 3.3333 (3 votes)

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  Subject Author Date
re(2): Possible approach (Spoiler)broll2012-12-27 15:28:25
Solutionre: Possible approach (Spoiler)Harry2012-12-27 14:05:53
SolutionAnalytic SolutionBractals2012-12-27 02:40:08
Some ThoughtsPossible approachbroll2012-12-26 23:57:56
SolutionVery short version of analytic solutionJer2012-12-26 23:49:36
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