Apollonius theorem
Let the sides of a triangle and the length of the median to the side with length . Then .
If (the triangle is isosceles), then the theorem reduces to the Pythagorean theorem,
Title | Apollonius theorem |
Canonical name | ApolloniusTheorem |
Date of creation | 2013-03-22 11:44:10 |
Last modified on | 2013-03-22 11:44:10 |
Owner | yark (2760) |
Last modified by | yark (2760) |
Numerical id | 14 |
Author | yark (2760) |
Entry type | Theorem |
Classification | msc 51-00 |
Classification | msc 18-00 |
Classification | msc 81-00 |
Related topic | Triangle |
Related topic | Median |
Related topic | StewartsTheorem |
Related topic | ProofOfStewartsTheorem |
Related topic | ProofOfApolloniusTheorem2 |
Related topic | ParallelogramLaw |
Related topic | ProofOfParallelogramLaw |