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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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