# Similarity of Angle Bisectors in Triangles

How to solve the similarity of angle bisectors in triangles problems: definition, example, and its solution.

## Definition

The angle bisector of a triangle is a line segment

that starts from the vertex

and bisects the angle of the vertex.

## Example

If two triangles are similar,

then their angle bisectors are proportional.

So the angle bisectors and the sides are proportional:

9 / *x* = 10 / 7.