How to Compute a Triangle with Prescribed Lengths of Its Internal Angle Bisectors

Gerhard Heindl
2016 Forum Geometricorum   unpublished
In 1994 P. Mironescu and L. Panaitopol published a non-constructive proof that any three given positive real numbers are the lengths of the internal angle bisectors of a triangle which is unique up to isometries. In the present paper it will be shown that this result can be obtained also by a constructive proof which in addition leads to an efficient method for computing the lengths of the sides of the triangle in question.