# Table of Contents

Definition of the angle bisector

How to construct the angle bisector of a triangle

The formulas for the length of the angle bisector

The angle bisector and the opposite side of a triangle

The relationship between the three angle bisectors of a triangle

The angle bisector, the median and the height in a scalene triangle

Relationship between the angle bisector and the height in a triangle

**The intersection of the angle bisectors in a triangle**

The intersection of the angle bisectors in a triangle. Properties

The line segments formed by intersection of the angle bisectors of a triangle

The distance from the vertex to the incenter. Formulas

**The bisectors of the exterior angles of a triangle. Properties**

The bisectors of the exterior angles of a triangle. Properties

The properties of the bisector of the exterior and interior angles of a triangle