笔者在研究三角形中的不等式时得到下面几个有趣的三角形不等式,即定理1在△ABC中,设a,b,c分别为BC,CA,AB的边长,相应于顶点A,B,C,△ABC的中线长为m_a,m_b,m_c;内角平分线长为w_a,w_b,w_c;高线长为h_a,h_b,h_c,旁切圆半径为r_a,r_b,r_c,△ABC的面积为S,则 When I study the inequalities in triangles, I get the following interesting triangle inequalities, that is, theorem 1 in △ABC, let a, b, c be the side lengths of BC, CA, and AB, corresponding to the vertex A, B, C The midline length of △ABC is m_a, m_b, m_c; the length of the internal angle bisector is w_a, w_b, w_c; the length of the high line is h_a, h_b, h_c, and the radius of the circumcircle is r_a, r_b, r_c, △ABC. S, then