(Pythagorean Triples) A right triangle can have sides that are all integers. A set of three integer values for the sides of a right triangle is called a Pythagorean triple. These three sides must satisfy the relationship that the sum of the squares of two of the sides is equal to the square of the hypotenuse. Find all Pythagorean triples for side1, side2 and hypotenuse all no larger than 500. Use a triple-nested for loop that tries all possibilities. This is an example of brute force computing. You’ll learn in more advanced computer science courses that there are many interesting problems for which there’s no known algorithmic approach other than sheer brute force.
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