Question

the perimeter of an equilateral triangle is 72 centimeters. let ( l ) represent the length of each side of the triangle. which equation models the problem? (\frac{l}{3} = 72) ( 3l = 72 ) solve this equation to find the length of each side of the triangle. blank centimeters submit

Explanation:

Step1: Analyze the property of an equilateral triangle

An equilateral triangle has three sides of equal length. If the length of each side is \(t\), then the perimeter \(P\) (sum of all side lengths) is \(P = t + t+ t=3t\). Given that \(P = 72\) cm, the equation is \(3t = 72\).

Step2: Solve the equation \(3t = 72\)

Divide both sides of the equation by 3. Using the formula \(\frac{3t}{3}=\frac{72}{3}\).

Answer:

The equation that models the problem is \(3t = 72\). The length of each side \(t = 24\) centimeters.