
Journal for Geometry and Graphics 23 (2019), No. 2, 183187 Copyright Heldermann Verlag 2019 On the Existence of Triangles with Given Lengths of Two Angle Bisectors and of the Cevian from the Third Angle Vertex Victor Oxman Western Galilee College, P.O.B. 2125, Acre 24121, Israel victor.oxman@gmail.com We prove the existence and uniqueness of a triangle with given lengths of two angle bisectors and the cevian from the third angle vertex (bisector, altitude and median). The results can be used in solving problems of computer graphics, architecture and other fields which include the construction of triangles with given elements. Keywords: Triangle, angle bisector, geometry inequalities. MSC: 51M05; 51M16 [ Fulltextpdf (154 KB)] 