Suppose a, b, c are integers. Prove that if a^2 + b^2 = c^2, at least one of a and be must be even. Hint: Is c^2 evenly divisible by 4?

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Suppose a, b, c are integers. Prove that if a^2 + b^2 = c^2, at least one of a and be must be even. Hint: Is c^2 evenly divisible by 4?

Question

Suppose a, b, c are integers. Prove that if a^2 + b^2 = c^2, at least one of a and be must be even. Hint: Is c^2 evenly divisible by 4?

  • Written in: 17-Oct-2019
  • Paper ID: 5922637
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DATE ANSWERED

Oct 17, 2019

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