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The lengths of the three sides of a triangle (in meters) are consecutive odd integers. If the perimeter is 93 meters, find the value of the middle of the three side lengths.
Final Answer: The middle side length of the triangle is \(\boxed{31}\) meters.
Step 1 :The problem is asking for the lengths of the sides of a triangle which are consecutive odd integers and the perimeter is given as 93 meters. We need to find the middle side length.
Step 2 :Since the sides are consecutive odd integers, we can represent them as \(x-2\), \(x\), and \(x+2\). The sum of these three sides is equal to the perimeter of the triangle, which is 93 meters.
Step 3 :So, we can set up the equation as follows: \((x-2) + x + (x+2) = 93\).
Step 4 :We can solve this equation to find the value of \(x\), which represents the middle side length.
Step 5 :The solution to the equation is 31, which means the middle side length of the triangle is 31 meters.
Step 6 :Final Answer: The middle side length of the triangle is \(\boxed{31}\) meters.