# 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

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## 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:

Wolfram Research (2019), AngleBisector, Wolfram Language function, https://reference.wolfram.com/language/ref/AngleBisector.html.

#### Text

Wolfram Research (2019), AngleBisector, Wolfram Language function, https://reference.wolfram.com/language/ref/AngleBisector.html.

#### CMS

Wolfram Language. 2019. "AngleBisector." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/AngleBisector.html.

#### APA

Wolfram Language. (2019). AngleBisector. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/AngleBisector.html

#### BibTeX

@misc{reference.wolfram_2024_anglebisector, author="Wolfram Research", title="{AngleBisector}", year="2019", howpublished="\url{https://reference.wolfram.com/language/ref/AngleBisector.html}", note=[Accessed: 26-May-2024 ]}

#### BibLaTeX

@online{reference.wolfram_2024_anglebisector, organization={Wolfram Research}, title={AngleBisector}, year={2019}, url={https://reference.wolfram.com/language/ref/AngleBisector.html}, note=[Accessed: 26-May-2024 ]}