$\"\"$

The side lengths are $\"\"$

$\"a$ (Apply Pythagorean theorem)

$\"\"$ (Substitute $\"\"$ ) $\"\"$

$\"\"$ (Evaluate powers: $\"\"$ )

$\"\"$ (Add: $\"\"$ )

The equality is true, so it is a right traingle.

$\"\"$

The traingle with the given side lengths is a right traingle.