Why are 6, 8, 10 and 5, 12, 13 pythagorean triples?

Pythagorean Triples are 3 whole numbers such that a^2 + b^2 = c^2
The biggest number must be the 'c' because it is across from the 90 degree angle and therefore the longest side.
6^2 + 8^2 ?=? 10^2
36 + 64 ?=? 100
100 = 100
This is true so 6,8,10 is a Pythagorean triple.
5^2 + 12^2 ?=? 13^2
25 + 144 ?=? 169
169 = 169
This is true so 5,12,13 is a Pythagorean triple.

Hope this helps (: