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2. Name your file WS13b.cpp. The set of three integer values for the lengths of the sides of a right triangle is called a Pythagorean triple. These three sides must satisfy the relationship that the sum of the two sides is equal to the square of the hypotenuse. Find all integer Pythagorean triples for siden, side2, and the hypotenuse, all no larger than 500. Use a triple-nested for loop that tries all possibilities. This program is an example of brute force computing. You will learn in more advanced computer science courses that there are many interesting problems for which there is no algorithmic approach other than using sheer brute force. This program does not need any input from the user. Write at least one bool function that takes the 3 sides of the triangle and returns true or false based on if it is a right triangle or not. Sample Output: W 4 3 - 12 00 00 17 12 15 ..... 475 132 493 483 44 485 A total of 772 triples were found. Extra fun work! There exists exactly one Pythagorean triplet for which a + b + c = 1000. Find a, b, and c and then the product abc