Answer:The length of the first side is 7.5 feet.
The length of the second side is 22.5 feet.
The length of the third side is 18 feet.
Explanation:
The formula for determining the perimeter of a triangle is expressed as
a + b + c
Where a,b and c are the length of each sides of the triangle.
A triangle has a perimeter of 48 feet. It means that
a + b + c = 48 - - - - - - - - - - - - - - 1
The second side is 15 feet longer than the first side. It means that
b = a + 15
The third side is 3 feet longer than twice the first side. It means that
c = 2a + 3
Substituting b = a + 15 and c = 2a + 3 into equation 1, it becomes
a + a + 15 + 2a + 3 = 48
4a + 18 = 48
4a = 48 - 18 = 30
a = 30/4 = 7.5
b = a + 15 = 15 + 7.5
b = 22.5
c = 2a + 3 = 2 × 7.5 + 3
c = 18