In geometry, the orthocenter of a triangle is the purpose the place the altitudes of the triangle intersect. The altitude of a triangle is a line section that’s perpendicular to a aspect of the triangle and passes via the alternative vertex. The orthocenter is a crucial level in a triangle as a result of it may be used to search out the circumcenter, the incenter, and the centroid of the triangle.
The orthocenter of a triangle just isn’t all the time contained in the triangle. In reality, it’s only contained in the triangle if the triangle is acute. If the triangle is true or obtuse, the orthocenter will probably be outdoors the triangle. Nonetheless, the orthocenter is all the time on the Euler line of the triangle, which is the road that passes via the centroid, the circumcenter, and the incenter of the triangle.