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An orthocenter of a triangle is the point of intersection of altitudes that are drawn perpendicular from the vertex to the opposite sides of a triangle. A triangle usually has 3 altitudes and the intersection of all 3 altitudes is called the orthocenter.
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Illustrated definition of Orthocenter: The point where the three altitudes of a triangle meet. An altitude is a line that goes through a vertex (corner...
Definition. The orthocenter of a triangle is the point where the three altitudes intersect. This point is unique to each triangle and can lie inside, on, or outside the triangle depending on its type. Understanding the orthocenter helps connect concepts such as altitudes and triangle centers, emphasizing its significance in triangle geometry.
In geometry, an orthocentric system is a set of four points on a plane, one of which is the orthocenter of the triangle formed by the other three. Equivalently, the lines passing through disjoint pairs among the points are perpendicular , and the four circles passing through any three of the four points have the same radius.
What is an Orthocenter? The orthocenter is a fascinating concept in geometry, especially when studying triangles. It is one of the triangle's four main points of concurrency, the others being the centroid, circumcenter, and incenter. Definition. The orthocenter is the point where the three altitudes of a triangle intersect.
Orthocenter - concurrent altitudes "ortho" - Greek meaning right angles, perpendicular. The three triangle altitudes are concurrent, meaning they intersect on one common point. That common point is called the orthocenter of the triangle.
The orthocenter is the intersection point of the altitudes drawn from the vertices of the triangle to the opposite sides. For an acute triangle, it lies inside the triangle. For an obtuse triangle, it lies outside of the triangle.
