Question

questionthe lengths of the three sides of a triangle (in feet) are consecutive even integers. if the perimeter is 96 feet, find the value of the shortest of the three side lengths.answerfeet

Explanation:

Step1: Set up the equation

Let the shortest side length be \(x\). Then the other two sides are \(x + 2\) and \(x+4\). The perimeter formula for a triangle is \(P=a + b + c\). So, \(x+(x + 2)+(x + 4)=96\).

Step2: Simplify the equation

Combine like - terms: \(3x+6 = 96\).

Step3: Solve for \(x\)

Subtract 6 from both sides: \(3x=96 - 6=90\). Then divide by 3: \(x=\frac{90}{3}=30\).

Answer:

30