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Angle bisector theorem

In geometry, the angle bisector theorem is concerned with the relative lengths of the two segments that a triangle's side is divided into by a line that bisects the opposite angle. It equates their relative lengths to the relative lengths of the other two sides of the triangle.

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Overview

Theorem

Proofs

Length of the angle bisector

History

Applications

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Map overview Semantic statistics

Angle bisector theorem

Nodes29
Edges28
Triples33
Avg. degree1.93
Density0.068966
Components1

How this topic connects Entity context

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Angle bisector theorem

Top relations

related to Theorem · 10
Angle bisector theorem → AB, ABC, AC, AD, BC, BD, CD, Consider, Let, The
related to Further reading · 9
Angle bisector theorem → Advanced Research, Amarasinghe, Angle Bisectors, Classical, Global Journal, Modern Geometries, On, Standard Lengths, Vol
related to history · 9
Angle bisector theorem → According, Augustus De Morgan, Book VI, Euclid's Elements, Heath, Pappus, Proposition, Robert Simson, The
related to External links · 3
Angle bisector theorem → Angle Bisectors, Khan Academy, Property
related to Length of the angle bisector · 1
Angle bisector theorem → The
related to Proofs · 1
Angle bisector theorem → There

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Important terminology

angle bisector theorem triangle displaystyle bc line equal sides triangles lengths ab side two similar bisectors cd ac angles proof

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Angle bisector theoremrelated to External linksProperty0.60section
Angle bisector theoremrelated to External linksAngle Bisectors0.60section
Angle bisector theoremrelated to External linksKhan Academy0.60section
Angle bisector theoremrelated to Further readingAmarasinghe0.60section
Angle bisector theoremrelated to Further readingOn0.60section
Angle bisector theoremrelated to Further readingStandard Lengths0.60section
Angle bisector theoremrelated to Further readingAngle Bisectors0.60section
Angle bisector theoremrelated to Further readingGlobal Journal0.60section
Angle bisector theoremrelated to Further readingAdvanced Research0.60section
Angle bisector theoremrelated to Further readingClassical0.60section
Angle bisector theoremrelated to Further readingModern Geometries0.60section
Angle bisector theoremrelated to Further readingVol0.60section

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    Min side: 3
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