Deriving Formulas for Three Integers Such That the Sum of Their Squares and the Sum of Products of Their Squares are Both Perfect Square Integers

Abstract

In this research study we will derive formulas for three integers whose squares sum and the sum of their squares products are both perfect square integers. That is if and  are three integers, then   and  are both perfect square integers. Proofs are most often arrived at through deductive reasoning. A proof is an argument where a given statement is true. In this proof the so called direct proof had used