论文标题
三角形和角度等分线的面积
Area of a triangle and angle bisectors
论文作者
论文摘要
考虑一个三角形$ abc $，其内部角度双压的给定长度$ l_a，l_b，l_c $。我们证明，通常，不可能使用尺子和指南针构建与$ abc $同一区域的正方形。此外，不可能在$ l_a，l_b，l_c $的自由基中表达$ abc $的面积。
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 $l_a,l_b,l_c$.
