The Sum of the Distances from the Orthocenter to the Vertices
The intersection of the altitudes of a triangle is called the orthocenter.[more]
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 ( + ).[less]
"The Sum of the Distances from the Orthocenter to the Vertices"
Wolfram Demonstrations Project
Published: March 7 2011