# Medians' theorem

## Description

Relates the medians and the sides of an arbitrary triangle. Median of a triangle is a line segment joining a vertex to the midpoint of the opposing side. Every triangle has exactly three medians, one from each vertex, and they all intersect each other at the triangle’s centroid.

Related formulas## Variables

m_{a} | Median from the vertex A to the side a (m) |

m_{b} | Median from the vertex B to the side b (m) |

m_{c} | Median from the vertex C to the side c (m) |

a | The side a opposite to the vertex A (m) |

b | The side b opposite to the vertex B (m) |

c | The side c opposite to the vertex C (m) |