Respuesta :
Answer:
Step-by-step explanation:
the length of the smallest side is 4 inches.
the length of the middle side is 8 inches.
the length of the longest side is 12 inches.
Step-by-step explanation:
Let x represent the length of the middle side of the triangle.
The longest side is 4 more than the middle side. It means that the length of the middle side is x + 4.
The smallest side is half the length of middle side. It means that the length of the smallest 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 24 inches. It means that
x + 4 + x + x/2 = 24
Multiplying both sides of the equation by 2, it becomes
2x + 8 + 2x + x = 48
5x = 48 - 8
5x = 40
x = 40/5
x = 8 inches
The length of the longest side is
8 + 4 = 12 inches
The length of the smallest side is
8/2 = 4 inches
