A triangle whose side lengths are whole numbers has one side which measures 25 inches and a perimeter of \(60\) inches. What is the fewest number of inches that can be the length of one of the remaining sides?
By the Triangle Inequality :
25 + shortest side > the remaining side
If shortest side = 1 remaining side = 34 not possible
.
If shortest side = 5 remaining side = 30 not possible
If shortest side = 6 remaining side = 29
The shortest possible side = 6 inches