WOLFRAM

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

Examples

open allclose all

Basic Examples  (1)Summary of the most common use cases

Calculate an angle bisector:

Out[1]=1
Out[2]=2

Scope  (2)Survey of the scope of standard use cases

Find an interior angle bisector:

Out[1]=1

Find an exterior angle bisector:

Out[1]=1

Properties & Relations  (4)Properties of the function, and connections to other functions

AngleBisector finds the interior angle bisector by default:

Out[1]=1
Out[2]=2

The angle bisector divides the angle into two equal angles:

Out[1]=1
Out[2]=2
Out[3]=3
Out[4]=4

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

Out[1]=1
Out[2]=2
Out[3]=3
Out[4]=4

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

Out[1]=1
Out[2]=2

Possible Issues  (2)Common pitfalls and unexpected behavior

The three points must be distinct:

Out[1]=1

AngleBisector only works in 2D:

Out[1]=1
Wolfram Research (2019), AngleBisector, Wolfram Language function, https://reference.wolfram.com/language/ref/AngleBisector.html.
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.

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.

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

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

BibTeX

@misc{reference.wolfram_2025_anglebisector, author="Wolfram Research", title="{AngleBisector}", year="2019", howpublished="\url{https://reference.wolfram.com/language/ref/AngleBisector.html}", note=[Accessed: 05-June-2025 ]}

@misc{reference.wolfram_2025_anglebisector, author="Wolfram Research", title="{AngleBisector}", year="2019", howpublished="\url{https://reference.wolfram.com/language/ref/AngleBisector.html}", note=[Accessed: 05-June-2025 ]}

BibLaTeX

@online{reference.wolfram_2025_anglebisector, organization={Wolfram Research}, title={AngleBisector}, year={2019}, url={https://reference.wolfram.com/language/ref/AngleBisector.html}, note=[Accessed: 05-June-2025 ]}

@online{reference.wolfram_2025_anglebisector, organization={Wolfram Research}, title={AngleBisector}, year={2019}, url={https://reference.wolfram.com/language/ref/AngleBisector.html}, note=[Accessed: 05-June-2025 ]}