angle bisector theorem

GPTKB entity

Statements (13)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:appliesTo gptkb:train
gptkbp:describes relationship between angle bisector and side lengths in a triangle
gptkbp:field gptkb:geometry
gptkbp:form BD/DC = AB/AC (for triangle ABC, angle bisector from A meets BC at D)
https://www.w3.org/2000/01/rdf-schema#label angle bisector theorem
gptkbp:namedAfter angle bisector
gptkbp:relatedTo triangle proportionality theorem
gptkbp:state the angle bisector of a triangle divides the opposite side into segments proportional to the adjacent sides
gptkbp:usedIn proofs in Euclidean geometry
triangle construction
gptkbp:bfsParent gptkb:Euclidean_geometry
gptkbp:bfsLayer 5