These are 45-45-90 triangles, whose hypotenuses are [tex]\sqrt{2}[/tex] times their legs. Given a side of length 1, for example, the diagonal length is [tex]\sqrt{2}\approx 1.4142.[/tex] The first few ordered pairs [tex](x,y)[/tex] in the table would be [tex](1,1.41),(2,2.83),(3,4.24),(4,5.66),...[/tex]
