Considering the perimeter of the triangle, it is found that the lengths of the sides are given by:
19 feet, 22 feet, 35 feet.
<h3>What is the perimeter of a triangle?</h3>
The perimeter of a triangle is given by the sum of the lengths of it's sides.
For this problem, we consider the sides as:
x, y and z.
The perimeter is of 76 feet, hence:
x + y + z = 76.
The second side of a triangular deck is 3 feet longer than the shortest side, hence:
y = x + 3.
A third side that is 3 feet shorter than twice the length of the shortest side.
z = 2x - 3.
Applying everything at the perimeter equation, we have that:
x + y + z = 76.
x + x + 3 + 2x - 3 = 76.
4x = 76.
x = 76/4
x = 19.
Then the other variables are:
- z = 2x - 3 = 2(19) - 3 = 35.
The lengths are:
19 feet, 22 feet, 35 feet.
More can be learned about the perimeter of a triangle at brainly.com/question/24382052
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