## Complex Proof

Let x and y be real integers such that x > y > 0. If a + b

For 2 bonus points, specify

*i*is the square of x + y*i*, prove that a and b are the legs in a pythagorean triple -- that is, if a and b are whole number lengths of the legs in a right triangle, the hypotenuse will also be a whole number. (*i*is the imaginary unit.)For 2 bonus points, specify

*less restrictive*conditions on the integers x and y for which the above statement is still true.View the solution

Toothpick Polygon

Thanks, Soroban

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