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
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
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