The height or altitude of a triangle is the distance between a vertex of a triangle and the opposite side. It is the shortest line segment between a vertex of a triangle and the (possibly extended) opposite side. Height can also be used to refer to the specific length of this segment. Notably, the three heights of a triangle are concurrent, intersecting at the orthocenter. The height of a triangle is illustrated in the diagram below.
“Altitude of a Triangle.” Mathwords, www.mathwords.com/a/altitude_triangle.htm.
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