Pythagoras' theorem states that in a right angle triangle the lenght of the hypotenuse when squared is equal to the height squared plus the base squared.
a2+b2 = c2 whereas a = height, b = base and c = hypotenuse
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The Pythagorean Theorem is not a triangle. It's a statement that describes a relationship among the lengths of the sides in any right triangle.
There is no relationship between slope and the theorem, however the theorem does deal with the relationship between angles and sides of a triangle.
Pythagorean triplets
Yes
Since the Pythagorean Theorem deals with the relationship among the lengths of the sides of a right triangle, it is altogether fitting and proper, and a fortuitous coincidence, that the variables in the algebraic statement of the Theorem stand for the lengths of the sides of a right triangle.