It's to do with The Greek mathematician called Pythagoras. He was into trangles, particulary right angles ones, where he came up with a theory that relates the lengths of each side in a right angle triangle.
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The Pythagorean theorem applies to right-angled triangles. It states that the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
A right angle triangle.
With right angle triangles
Yes is you are using only straight ines, no if you are using arc segments.
Pythagorean triplets
Since there are an infinite amount of whole numbers to make Pythagorean triples, there would be an infinite amount of Pythagorean triples to make.