What is the point where all altitudes of a triangle intersect called?

The point where all altitudes of a triangle intersect is known as the orthocenter. In geometry, the orthocenter is a significant point because it is formed by the intersection of the three altitudes of the triangle, which are the lines drawn from each vertex perpendicular to the opposite side. The orthocenter can be located inside the triangle for acute triangles, on the triangle for right triangles, and outside the triangle for obtuse triangles.

This property distinguishes the orthocenter from other important triangle centers. For instance, the centroid is the intersection point of the three medians of the triangle, which connect each vertex to the midpoint of the opposite side. The incenter, on the other hand, is the intersection of the angle bisectors and represents the center of the inscribed circle of the triangle. Finally, the circumcenter is the point where the perpendicular bisectors of the sides intersect and serves as the center of the circumscribed circle around the triangle. Each point has its unique properties and significance in triangle geometry, but the orthocenter specifically relates to altitudes.