orthocenter
In Euclidean geometry, the orthocenter of a triangle is the common intersection point of its three altitudes, the lines through each vertex perpendicular to the opposite side. It can be found by constructing the perpendiculars from the vertices to the opposite sides and locating their intersection.
The orthocenter’s position depends on the type of triangle. In a right triangle, the orthocenter coincides with
The orthocenter is related to several other classical centers. The circumcenter, centroid, and orthocenter are collinear
Other notable properties include that the reflections of the orthocenter across the triangle’s sides lie on
Computationally, given triangle vertices A, B, and C, the orthocenter is found as the intersection of the