A triangle whose side lengths are whole numbers has one side which measures 25 inches and another side of 80 inches. What is the fewest number of inches that can be the length of one of the remaining sides?
By the triangle inequality either
80 + 25 > x or 25 + x > 80
105 > x x > 80 - 25
x < 105 x > 55
Then the remaining side's shortest length = 56 inches