# AngleBisector

AngleBisector[{q1,p,q2}]

gives the bisector of the interior angle at p formed by the triangle with vertex points p, q1 and q2.

AngleBisector[{q1,p,q2},"type"]

gives the angle bisector of the specified type.

# Details • AngleBisector gives an InfiniteLine object.
• The qi and p in AngleBisector[{q1,p,q2}] can be lists of coordinates or explicit Point objects.
• AngleBisector[p{q1,q2}] is equivalent to AngleBisector[{q1,p,q2}].
• AngleBisector gives the line that divides the angle into two equal angles and that passes through the point p.
• • The following bisector type specifications "type" can be given:
•  "Interior" bisector of the interior angle of the triangle at p "Exterior" bisector of the exterior angle of the triangle at p
• AngleBisector only works in 2D.
• AngleBisector can be used with symbolic points in GeometricScene.

# Examples

open allclose all

## Basic Examples(1)

Calculate an angle bisector:

## Scope(2)

Find an interior angle bisector:

Find an exterior angle bisector:

## Properties & Relations(4)

AngleBisector finds the interior angle bisector by default:

The angle bisector divides the angle into two equal angles:

The exterior angle bisector divides the exterior angle into two equal angles:

TriangleConstruct[{a,b,c},"AngleBisector"] is equivalent to AngleBisector[{a,b,c}]:

## Possible Issues(2)

The three points must be distinct: AngleBisector only works in 2D: