Hi I was wondering about this and don't know how to solve it so thought I could ask about it here. If $A^2 + B^2 = X^2$ and $A^2 + C^2 = Y^2$ and $B^2 + C^2 = Z^2$ all are whole numbers and $A,B$ $A,C$ $B,C$ all form right angles in their respective triangles. Is there any solution or sets of numbers that fit. Regards Rob edit :- If there are many sets just the first few is fine.
Thanks I was just reading wiki before I saw your answer and this article https://en.wikipedia.org/wiki/Pythagorean_triple explains why my question can't be answered, one number needs to odd, and the other one even, so if both A,B and B,C are first part of a Pythagorean primitive triple, then B,C are either both even or both odd and can never make a Pythagorean triple.