Which of the following sets of numbers satisfy the conditions to be a "Pythagorean Triple?"

Question

anonymous · Answer

3,6,7    5,12, 13   5,7,8    12,24,25    all of the above

anonymous · Answer

The pythagorean theorem states:
$$a ^{2}+b ^{2}=c ^{2}$$
so substituting in the numbers you have:
3^2 + 6^2 = 7^2
9+36=49
45=49
which is false so the first set does not work. 
See if you can try the other sets following the example.

amistre64 · Answer

being a carpenter tells me 5-12-13

anonymous · Answer

so that is why you're good at Geometry.

anonymous · Answer

5^2 + 12^2 = 13^2
25 + 144 = 169
169 = 169
So it is the 5, 12, 13