There are infinitely many Pythagorean triples.
To find a Pythagorean triple take two positive integers x, y with x > y.
A Pythagorean triple is of the form x2 - y2, 2xy, x2 + y2.
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That will depend on the triples of which none have been given but in order to be a Pythagorean triple they must comply with Pythagoras' theorem for a right angle triangle.
Yes
You can use pythagorean theorem twice to find the diagonal of a cube
The set of Pythagorean triple is three dimensional and infinitely large.
Yes because the given dimensions concur with Pythagoras' theorem for right angle triangles.