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? Choices: (A)3ℓ = 72 (B)ℓ/3 = 72 Solve this equation to find the length of each side of the triangle. ____ centimeters

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?   Choices: (A)3ℓ = 72 (B)ℓ/3 = 72    Solve this equation to find the length of each side of the triangle. ____ centimeters

Bytelearn · Accepted Answer

Identify Equation:  Identify the correct equation that models the problem. An equilateral triangle has three equal sides, and the perimeter is the total length around the triangle. So, if ℓ is the length of one side, the perimeter equation is 3ℓ = total perimeter. Choose Correct Equation:  Choose the correct equation from the given choices. The correct equation that represents the perimeter of the equilateral triangle is (A) 3ℓ = 72, because it correctly sums the lengths of all three sides to equal the perimeter. (B) ℓ/3 = 72 is incorrect because it implies dividing the perimeter by 3, which doesn't represent the sum of all sides. Solve Equation:  Solve the equation 3ℓ = 72 to find the length of one side. Divide both sides of the equation by 3 to isolate ℓ: ℓ = 72 / 3 ℓ = 24 centimeters.

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