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.

Question

anonymous · Answer

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???

anonymous · Answer

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.

anonymous · Answer

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

anonymous · Answer

You can give her the answer she wants, but right now you are trying to understand the theory.

anonymous · Answer

Once you understand it, you can always switch the variables back to the ones she likes.

anonymous · Answer

yes i can do that