The median of a triangle is a line segmentMathworldPlanetmath joining a vertex with the midpointMathworldPlanetmathPlanetmathPlanetmath of the opposite side.

In the next figure, AA is a median. That is, BA=AC, or equivalently, A 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 theoremMathworldPlanetmath.

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 OrthocenterMathworldPlanetmath
Related topic CevasTheorem
Related topic Centroid
Related topic ProofOfApolloniusTheorem2
Related topic ParallelogramLaw
Related topic TrigonometricVersionOfCevasTheorem
Related topic ProofOfParallelogramLaw
Related topic HeightOfATriangle
Related topic Cevian