In geometry, the orthocenter of a triangle is the point where the three altitudes of the triangle intersect. An altitude is a line segment drawn from a vertex of the triangle perpendicular to the opposite side. The orthocenter is also the center of the triangle’s nine-point circle, which is a circle that passes through nine notable points associated with the triangle.
The orthocenter is an important point in the geometry of triangles. It can be used to find the area of a triangle, the length of the sides of a triangle, and the angles of a triangle. The orthocenter can also be used to construct other important points in the triangle, such as the incenter and the circumcenter.
