The Distance to the Orthocenter
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In a triangle, twice the distance from the circumcenter O to a side equals the distance from the orthocenter H to the vertex opposite that side.
Contributed by: Jay Warendorff (March 2011)
Open content licensed under CC BY-NC-SA
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See theorem 195 in N. Altshiller-Court, College Geometry, Mineola, NY: Dover, 2007 p. 99.
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"The Distance to the Orthocenter"
http://demonstrations.wolfram.com/TheDistanceToTheOrthocenter/
Wolfram Demonstrations Project
Published: March 7 2011