what is a orthocenter
In a right triangle, the orthocenter is the polygon vertex of the right angle. When the vertices of a triangle are combined with its orthocenter, any one of the points is the orthocenter of the other three, as first noted by Carnot (Wells 1991). These four points therefore form an orthocentric system. The circumcenter and orthocenter are isogonal conjugates. The orthocenter lies on the Euler line.