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Consider an isosceles right-angled triangle.

The hypotenuse is equal to the square root of the sum of the squares of two equal sides, so h2 = a2 + b2 but a and b are equal so you have a triple of h, a and a...

This in its simplest form equates to h = 1 and a & b each = half of root 2.

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Q: Why cant two numbers in a Pythagorean triple be equal?
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