Answer:
Let x be the length of the first side of the triangle.
The second side is two feet longer than the first, so it has a length of x + 2 feet.
The third side is two feet longer than the second, so it has a length of x + 2 + 2 = x + 4 feet.
We know that the perimeter of a triangle is the sum of the lengths of all its sides, so we can use that information to set up an equation:
x + (x + 2) + (x + 4) = 18
Simplifying this equation by combining like terms, we get:
3x + 6 = 18
Subtracting 6 from both sides, we get:
3x = 12
Dividing both sides by 3, we get:
x = 4
So the length of the first side of the triangle is 4 feet. We can use this information to find the lengths of the other two sides:
The second side is x + 2 = 4 + 2 = 6 feet.
The third side is x + 4 = 4 + 4 = 8 feet.
Explanation: