WHich of the following sets of integers is a Pythagorean triple?

15,9,17

5,12,13

6,8,12

3,5,6

Pythagorean theorem states that:

c^2=a^2+b^2

where:

c=hypotenuse

a and b are the legs

this implies that, a and b are shorter than c; thus to find the Pythagorean theorem we look for values that satisfy the above equation, where c is the longest side.

17^2=15^2+9^2

thus (17,15,9) are Pythagorean triple.

13^2=5^2+12^2

Thus (5,12,13) are Pythagorean triple

12^2≠6^2+8^2

Thus they are not Pythagorean triple

6^2=5^2+3^2

Thus (3,5,6) are not Pythagorean theorem.