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- Angle_bisector_theorem abstract "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.Consider a triangle ABC. Let the angle bisector of angle A intersect side BC at a point D. The angle bisector theorem states that the ratio of the length of the line segment BD to the length of segment DC is equal to the ratio of the length of side AB to the length of side AC:The generalized angle bisector theorem states that if D lies on BC, then This reduces to the previous version if AD is the bisector of BAC.The angle bisector theorem is commonly used when the angle bisectors and side lengths are known. It can be used in a calculation or in a proof.An angle bisector of an isosceles triangle will also bisect the opposite side, when the angle bisect bisects the vertex angle of the triangle".
- Angle_bisector_theorem thumbnail Triangle_ABC_with_bisector_AD.svg?width=300.
- Angle_bisector_theorem wikiPageExternalLink index.
- Angle_bisector_theorem wikiPageExternalLink ?op=getobj&from=objects&id=6487.
- Angle_bisector_theorem wikiPageExternalLink ?op=getobj&from=objects&id=6488.
- Angle_bisector_theorem wikiPageExternalLink AngleBisectorRatio.shtml.
- Angle_bisector_theorem wikiPageID "2401128".
- Angle_bisector_theorem wikiPageRevisionID "581270454".
- Angle_bisector_theorem hasPhotoCollection Angle_bisector_theorem.
- Angle_bisector_theorem subject Category:Articles_containing_proofs.
- Angle_bisector_theorem subject Category:Elementary_geometry.
- Angle_bisector_theorem subject Category:Theorems_in_plane_geometry.
- Angle_bisector_theorem subject Category:Triangle_geometry.
- Angle_bisector_theorem type Abstraction100002137.
- Angle_bisector_theorem type Communication100033020.
- Angle_bisector_theorem type Message106598915.
- Angle_bisector_theorem type Proposition106750804.
- Angle_bisector_theorem type Statement106722453.
- Angle_bisector_theorem type Theorem106752293.
- Angle_bisector_theorem type TheoremsInPlaneGeometry.
- Angle_bisector_theorem comment "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.Consider a triangle ABC. Let the angle bisector of angle A intersect side BC at a point D.".
- Angle_bisector_theorem label "Angle bisector theorem".
- Angle_bisector_theorem label "Stelling van de bissectricehoek".
- Angle_bisector_theorem label "Teorema de la bisectriz".
- Angle_bisector_theorem label "Teorema della bisettrice".
- Angle_bisector_theorem label "Twierdzenie o dwusiecznej kąta wewnętrznego w trójkącie".
- Angle_bisector_theorem label "Теорема о биссектрисе".
- Angle_bisector_theorem label "مبرهنة منصف الزاوية".
- Angle_bisector_theorem label "角平分線定理".
- Angle_bisector_theorem sameAs Teorema_de_la_bisectriz.
- Angle_bisector_theorem sameAs Teorema_della_bisettrice.
- Angle_bisector_theorem sameAs Stelling_van_de_bissectricehoek.
- Angle_bisector_theorem sameAs Twierdzenie_o_dwusiecznej_kąta_wewnętrznego_w_trójkącie.
- Angle_bisector_theorem sameAs m.079j4w.
- Angle_bisector_theorem sameAs Q925854.
- Angle_bisector_theorem sameAs Q925854.
- Angle_bisector_theorem sameAs Angle_bisector_theorem.
- Angle_bisector_theorem wasDerivedFrom Angle_bisector_theorem?oldid=581270454.
- Angle_bisector_theorem depiction Triangle_ABC_with_bisector_AD.svg.
- Angle_bisector_theorem isPrimaryTopicOf Angle_bisector_theorem.