Programming in C, (printf and scanf): 1. The Pythagorean theorem states that a2 + b2 = c2. Write a 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 60 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

This program may be written entirely in function main.

Hint 1: Use a and b as loop counters.

Hint 2: If c is an integer, then floor( c) should be equal to c.