# height

Let $ABC$ be a given triangle. A height of $ABC$ is a line segment drawn from a vertex to the opposite side (or its prolongations) and perpendicular to it. So we have three heights in any triangle. The three heights are always concurrent and the common point is called the orthocenter. In Euclidean geometry the length of the segment ”height” is sometimes referred to as the height.

In the following figure, $AD,BE$ and $CF$ are heights of $ABC$.

Title height Height 2013-03-22 11:55:39 2013-03-22 11:55:39 Mathprof (13753) Mathprof (13753) 15 Mathprof (13753) Definition msc 51-00 Triangle Median Orthocenter Cevian BaseAndHeightOfTriangle