对于含60°角的整边三角形,文[1]已有一些研究.本文是笔者沿另一蹊径探索出的结果.等边的整边三角形的结构是显然的.以下讨论的是不等边的情况.命题1若三角形的三边长a、b、c(acb)都是正整数,那么,此三角形含60°角的充分必要条件是存在正整数m、n,且m|3n2,a、b、c有如下表达 For the whole triangle with angle of 60 °, there are some researches in this paper [1] .This paper is the result of the author’s exploration along another path.The structure of the equilateral triangle is obvious.The following is the inequality Proposition 1. If all three sides of triangle a, b, c (acb) are positive integers, then if the triangle contains a 60 ° angle, then there exists a positive integer m, n, and m | 3n2, a, b, c have the following expressions