# Stewart's Theorem ( for triangle's bisectors)

## 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.If the cevian happens to be an angle bisector, its length can be determined by the length of the triangle’s sides and the length of the segments that bisector divides the opposite side.

Related formulas## Variables

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

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

a | Length of the third side of the triangle ( the opposite side of the bisector's angle) (m) |

d | Length of the bisector (m) |

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

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