Final answer:
The shortest side of the triangle is 4 feet, the second side is 7 feet, and the third side is 5 feet.
Step-by-step explanation:
Let the shortest side of the triangle be represented by x. According to the given information, one side is 3 feet longer than the shortest side, so its length would be x+3. The third side is 1 foot longer than the shortest side, so its length would be x+1.
We know that the perimeter of a triangle is the sum of the lengths of its sides. So, we can write the equation:
x + (x+3) + (x+1) = 16
Simplifying the equation, we get: 3x + 4 = 16
By solving this equation, we find that x = 4. Therefore, the sides of the triangle are 4 feet, 7 feet, and 5 feet.
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