What combination of integers can be used to generate the pythagorean triple (8,15,17)
a. x=2 y=2
b. x=3 y=2
c. x=4 y=3
d. x=4 y=1

D. x=4, y=1

Step-by-step explanation:

We know that,

The Pythagorean triples are generated by x, y and , where x,y > 0 and are integers.

To generate the triple (8,15,17), we have the system,

           ...........(1)

   ............(2)

   ............(3)

Adding (2) and (3), we get,

i.e.

i.e.

Substitute the value of x in (1), we get,

i.e.

i.e.

So, we get the integers,

x = 4, y= 1 and x= -4, y= 1.

Thus, according to the options, the integers which generate the triples are x = 4, y= 1.