Integer Pythagoras

You have a right triangle that has integer sides. Read the following statements about that triangle.

\([1]\). At least one of the sides of that triangle must be divisible by \(3\).

\([2]\). At least one of the sides of that triangle must be divisible by \(4\).

\([3]\). At least one of the sides of that triangle must be divisible by \(5\).

Which of these statements is(are) correct?

Note: This problem is a part of this set.

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