Area of a triangle and angle bisectors
Group Theory
2020-08-26 v1
Abstract
Consider a triangle with given lengths of its internal angle bisectors. We prove that in general, it is impossible to construct a square of the same area as using a ruler and compass. Moreover, it is impossible to express the area of in radicals of .
Cite
@article{arxiv.2005.13431,
title = {Area of a triangle and angle bisectors},
author = {A. A. Buturlakin and S. S. Presnyakov and D. O. Revin and S. A. Savin},
journal= {arXiv preprint arXiv:2005.13431},
year = {2020}
}