# median

The median of a triangle is a line segment joining a vertex with the midpoint of the opposite side.

In the next figure, $AA^{\prime}$ is a median. That is, $BA^{\prime}=A^{\prime}C$, or equivalently, $A^{\prime}$ is the midpoint of $BC$.

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.

 Title median Canonical name Median Date of creation 2013-03-22 11:44:01 Last modified on 2013-03-22 11:44:01 Owner CWoo (3771) Last modified by CWoo (3771) Numerical id 18 Author CWoo (3771) Entry type Definition Classification msc 51-00 Classification msc 55-00 Classification msc 55-01 Related topic Triangle Related topic ApolloniusTheorem Related topic Orthocenter Related topic CevasTheorem Related topic Centroid Related topic ProofOfApolloniusTheorem2 Related topic ParallelogramLaw Related topic TrigonometricVersionOfCevasTheorem Related topic ProofOfParallelogramLaw Related topic HeightOfATriangle Related topic Cevian