The orthocenter is a point in a triangle where all three of its altitudes intersect. An altitude is a line segment drawn from a vertex of the triangle perpendicular to the opposite side. The position of the orthocenter varies depending on the type of triangle: it lies inside for acute triangles, on the vertex for right triangles, and outside for obtuse triangles. In addition to its geometric significance, the orthocenter is one of the triangle's key centers, along with the centroid and circumcenter. Understanding the orthocenter helps in various applications, including geometry, trigonometry, and engineering.