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In any Pythagorean triple, the square of the two shortest sides is equal to the square of the longest side. For example, 32+42=52. Since it is impossible to have a right-angled triangle with a side of 1, it is impossible for two sides of a right-angled triangle to be of the same length.

Therefore, a Pythagorean triple will always contain three differently-sized sides.

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Q: Can a pythagorean triple have two equal sides?
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