# Relation between internal bisectors of angles A, B, and C of a triangle and its sides

## Description

An angle bisector divides the angle into two angles with equal measures. An angle only has one bisector. Each point of an angle bisector is equidistant from the sides of the angle. If the internal bisectors of angles A, B, and C of a triangle have lengths ta, tb, and tc, there is a relation between the bisectors and the sides of the triangle a, b, c.

Related formulas## Variables

b | Side of the triangle (opposite angle B) (cm) |

c | Side of the triangle (opposite angle C) (cm) |

t_{a} | Internal bisector of angle A (cm) |

a | Side of the triangle (opposite angle A) (cm) |

t_{b} | Internal bisector of angle B (cm) |

t_{c} | Internal bisector of angle C (cm) |