# Length of the internal bisector of a triangle

## Description

An angle bisector of a triangle is a straight line through a vertex which cuts the corresponding angle in half. The three angle bisectors intersect in a single point, the incenter, the center of the triangle’s incircle.There is a relation between the length of the internal bisector, opposite to the side “a” and the sides of the triangle. (Also equivalently for bisectors Wb and Wc).

Related formulas## Variables

w_{a} | Length of the internal bisector (m) |

b | Length of the side b (m) |

c | Length of the side c (m) |

s | Semiperimeter of the triangle (m) |

a | Length of the side a (m) |