本原海伦三角形的边的问题

The Properties of the Sides of the Primitive Helen Triangle

给出本原海伦三角形的三边长构成等差数列的充要条件,证明了不存在本原等腰海伦三角形使其之边长均为平方数。

In this paper,we give a necessary and sufficient condition for a sequence with common difference to be three sides of a primitive Helen triangle. Furthermore,we prove that there does not exist primitive isosceles Helen triangle such that its three sides are squares.