Answer:
Step-by-step explanation:
Let x represent the length of the longest side of the triangle.
The shortest side of a triangle measures 15 inches less than the longest side. It means that the length of the shortest side is x - 15.
If the third side is 2 inches shorter than the longest side, it means that the length of the third side is
x - 2
The formula for determining the perimeter of a triangle is
Perimeter = a + b + c
Where a, b and c are the lengths of each side of the triangle. The perimeter of the triangle is 103 inches. It means that
x + x - 15 + x - 2 = 103
3x - 17 = 103
3x = 103 + 17 = 120
x = 120/3
x = 40
The length of the longest side is
40 inches
The length of the third side is
40 - 2 = 38 inches
The length of the shortest side is
40 - 15 = 25 inches
