(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

If a,b and c are integers and a^{2}+b^{2}=c^{2}, then at least one of a and b is even.

2. Contradiction statement

There exist an integer a,b,c such that a^{2}+b^{2}=c^{2}and a or b is odd

3. The attempt at a solution

I am not sure if my contradiction statement is correct because of this part, then at least one of a and b is even. I think it means 1 has to be even and the other could be even or odd. Let me know if my contradiction is right or wrong and point me in the right direction to start.

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Proof by contradiction, please help

**Physics Forums | Science Articles, Homework Help, Discussion**