涉及三角形及一动点的一个几何不等式

A Geometric Inequality Involving a Mobile Point and Triangle

运用Bottema不等式及若干三角形恒等式,证明平面上任一点到三角形三顶点距离的一个加权不等式,然后应用该不等式和一已知不等式证明Fermat和的一个新不等式.

With the result of Fermat Dot Problem,a new lower bound of the sum of the distances between a point and three vertexes is obtained,and a interrelated conjecture is posed.