Build or generate one Pythagorean Triple using one of the many formulas available then verify in the Pythagorean Theorem equation.

Please write the problem solution in the solution text box; do not attach files.

Also, do not post short title without the actual solution (to be appended later). Post the answer right away. I need the answers with all the steps (including equations) shown. Do not include the Problem text before your answer unless you are quoting it in the answer you provide. Thanks!

(3,4,5) , (5,12,13)