It's not clear if this is a right triangle or not. I'm going to assume its any kind of triangle. The third side c is restricted such that...
a - b < c < a + b 4.8 - 0.23 < c < 4.8 + 0.23 4.57 < c < 5.03
If c was allowed to be any real number, then we'd have infinitely many solutions for c. However, we're told that c is a whole number. The only whole number between 4.57 and 5.03 is 5