# Stewart's Theorem

## Description

Stewart’s theorem yields a relation between the length of the sides of the triangle and the length of a cevian of the triangle. A cevian is any line segment in a triangle with one endpoint on a vertex of the triangle and the other endpoint on the opposite side.

Related formulas## Variables

b | Length of one of the sides of the triangle (m) |

m | Lenth of one of the segments that cevian divides the side a (adjacent to c) (m) |

c | Length of another side of the triangle ( adjacent to b) (m) |

n | Lenth of one of the segments that cevian divides the side a ( adjacent to b) (m) |

a | Length of the third side of the triangle ( the base of the triangle) (m) |

d | Length of the cevian to the side of length a (m) |