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The law of cosines states that in any triangle, c2 = a2 + b2 - 2abcosy, where c is the hypotenuse, a and b are the legs, and y is the angle opposite c, the hypotenuse. Since in a right triangle, this is always 90 degrees, the cosine of y will always be 0. since 2ab(0) is 0, we get the formula a2 + b2 = c2, the Pythagorean Theorem.
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.
the sides of a triangle on which the Pythagorean theorem can be applied is called Pythagorean triplet
If you mean 3, 4 and 5 then yes it is a Pythagorean triple