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On the existence of triangle with given angle and opposite angle bisectors length. (English) Zbl 1212.51012

Summary: Let us denote by \(l_a\), \(l_c\) the lengths of angle bisectors on the sides \(BC\) and \(AB\), respectively. We prove that, for given positive \(l_a,\;l_c\) and angle \(\beta=ABC\angle\), there is a unique triangle.

MSC:

51M09 Elementary problems in hyperbolic and elliptic geometries

Keywords:

triangle; bisector
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