Let a, b, and c be integers such that a^2+b^2=c^2. Prove at least one of a and b is even.

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter5: Factoring Polynomials
Section5.7: Factoring Pattern For X2+bx+c, C Positive
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Let a, b, and c be integers such that a^2+b^2=c^2. Prove at least one of a and b is even.

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