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 by way of the other vertex. The orthocenter is a crucial level in a triangle as a result of it may be used to seek out the circumcenter, the incenter, and the centroid of the triangle.
The orthocenter of a triangle will not be at all times contained in the triangle. In actual fact, it is just contained in the triangle if the triangle is acute. If the triangle is correct or obtuse, the orthocenter might be exterior the triangle. Nevertheless, the orthocenter is at all times on the Euler line of the triangle, which is the road that passes by way of the centroid, the circumcenter, and the incenter of the triangle.