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arXiv · 2005.13431

Area of a triangle and angle bisectors

A. A. Buturlakin·S. S. Presnyakov·D. O. Revin·S. A. Savin
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Abstract

Consider a triangle $ABC$ with given lengths $l_a,l_b,l_c$ of its internal angle bisectors. We prove that in general, it is impossible to construct a square of the same area as $ABC$ using a ruler and compass. Moreover, it is impossible to express the area of $ABC$ in radicals of $l_a,l_b,l_c$.

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A. A. Buturlakin, S. S. Presnyakov, D. O. Revin, S. A. Savin. 2020-05-27. Area of a triangle and angle bisectors. https://doi.org/10.33048/semi.2020.17.052

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