What three numbers are the Pythagorean triple generated by using [tex]$x = 4$[/tex] and [tex]$y = 1$[/tex]? Remember to use the formulas:
[tex]\[a = x^2 - y^2,\][/tex]
[tex]\[b = 2xy,\][/tex]
[tex]\[c = x^2 + y^2.\][/tex]
A. 6, 8, and 10
B. 5, 11, and 12
C. 3, 5, and 8
D. 8, 15, and 17