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Topic: Need help with geometry problem
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geombl

Posts: 2
From: banjaluka
Registered: 8/27/07
Need help with geometry problem
Posted: Aug 27, 2007 8:11 AM
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I have a problem to prove this:

Consider a triangle ABC and select a point M on the circumcircle of the given triangle. The feet of the perpendiculars from M to the sides of the triangle all lie on the same line, Simson's line. Prove that Simson's line bisects the segment MH, where H is the orthocenter of the triangle ABC. Also prove that the midpoint of the segment MH lie on the Euler's circle!

Please help me to prove this! Thanks



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