noun
- the point where the three altitudes of a triangle intersect
Usage: geometry
Examples
- The orthocenter of an acute triangle lies inside the triangle.
- In a right triangle, the orthocenter is located at the vertex of the right angle.
- For an obtuse triangle, the orthocenter falls outside the triangle.
- Students learned to construct the orthocenter by drawing all three altitudes.
- The orthocenter is one of the four classical triangle centers in geometry.
- Finding the orthocenter requires knowledge of perpendicular lines and coordinate geometry.