The Distance to the Orthocenter from a Vertex

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Let ABC be a triangle and H its orthocenter. Let O and be the circumcenter and circumradius of ABC. Then .

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


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See Problem 1 in N. Altshiller-Court, College Geometry, 2nd ed., Mineola, NY: Dover, 2007 p. 101.



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