Journal Home Page

Cumulative Index

List of all Volumes

Complete Contents
of this Volume

Previous Article

Next Article

Journal for Geometry and Graphics 23 (2019), No. 2, 183--187
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

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

[ Fulltext-pdf  (154  KB)]