Prove that for right triangle ABC w/ legs AB and BC if (AC)^2 is a perfect square, then AB and BC cannot both be odd.

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Prove that for right triangle ABC w/ legs AB and BC if (AC)^2 is a perfect square, then AB and BC cannot both be odd.

Mathematics
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I have 4x^2 + 4y^2 +4x +4y+1+1 which equals 4(x^2+y^2+x+y)+2 which I was told its why they can't both b odd but I don't understand why? Can someone help???
Euclidean geometry, pythagorean triples, a very involved explanation, takes a little patience to get. Your use of variables might be a source of confusion. Trying naming sides, a,b,c and numbers, length of sides, potentially odd m and n.
well my teacher is very strict on what answer she wants and that was the answer she gave and now I have to explain why

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You can give her the answer she wants, but right now you are trying to understand the theory.
Once you understand it, you can always switch the variables back to the ones she likes.
yes i can do that

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