A triangle whose side lengths are whole numbers has one side which measures 25 inches and a perimeter of $100$ inches. What is the fewest number of inches that can be the length of one of the remaining sides?
Triangle side rule says any two sides must sum to more than the third side
25 two other legs must equal to 75 49 and 26
looks like 26 is the shortest of the remaining sides making the short leg less than 26 will break the rule