The Pythagorean theorem states that a² + b² = c². Write a C++ program using a nested for loop that finds all combinations of triples a, b, and c that are positive integers all smaller than or equal to 50 that satisfy the Pythagorean theorem. Display the results in a three-column table in which every row corresponds to one triple. For purposes of the table, assume a < b. The first three rows of the table are:

3 4 5

5 12 13

6 8 10