median
The median of a triangle is a line segment joining a vertex with the midpoint of the opposite side.
In the next figure, is a median. That is, , or equivalently, is the midpoint of .
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 |