medianMedian2001-10-06 17:32:202007-10-08 23:45:27DefinitionTriangleGeometry\usepackage{amssymb}
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\usepackage{xypic}The \emph{median} of a triangle is a line segment joining a vertex with the midpoint of the opposite side.
In the next figure, $AA'$ is a median. That is, $BA'=A'C$, or equivalently, $A'$ is the midpoint of $BC$.
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\includegraphics[scale=0.5]{median}
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If the length of the three sides of the triangle are known, the length of the medians can be found by means of Apollonius theorem.