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The Sum of the Distances from the Orthocenter to the Vertices

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The intersection of the altitudes of a triangle is called the orthocenter.

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Let H be the orthocenter of the triangle ABC, and let and be its circumradius and inradius. When H lies inside ABC, HA + HB + HC = 2 ( + ).

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Contributed by: Jay Warendorff (March 2011)
Open content licensed under CC BY-NC-SA

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