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Take any odd number. Square the odd number. Divide by two. Add 0.5 to the quotient. Subtract 0.5 from the quotient. The sum and difference of 0.5 and the quotient are the two other integers that satisfy the Pythagorean Theorem. Example: Take 11. Square it: 121. Divide by 2: 60.5. The other two integers that satisfy the Pythagorean Theorem with 11 are 60 and 61. So, 11, 60, and 61 is a Pythagorean Triple.Take any even number. Square the even number. Divide by four. Add 1 to the quotient. Subtract 1 from the quotient. The sum and difference of 1 and the quotient are the two other integers that satisfy the Pythagorean Theorem. Example: Take 8. Square it: 64. Divide by four: 16. Add 1: 17. Subtract 1: 15. So, 8, 15, and 17 is a Pythagorean Triple.