Which set of numbers cannot be the

legs of a right triangle?

F 8 , 12 , 15
G 6 , 8 , 10
H 5 , 12 , 13
J 8 , 15 , 17

check to see whether a^2+b^2 = c^2

It helps to know the sizes of common integer-sided right triangles:

3-4-5, 5-12-13, 8-15-17