Final Answer:
The perimeter of the equilateral triangle is 3s where s represents the length of one side.
Step-by-step explanation:
The perimeter of any polygon is the sum of the lengths of its sides. For an equilateral triangle, all three sides are equal, so to find the perimeter, we can simply add the length of one side to itself three times. Using the Distributive Property, the expression for the perimeter of an equilateral triangle is 3s, where s represents the length of a single side.
An equilateral triangle has three congruent sides. Since all sides are equal, to find the perimeter, you add the length of one side to itself twice more. This can be represented mathematically as s + s + s or 3s, utilizing the Distributive Property. This property allows us to multiply a number by each term inside a set of parentheses. In this case, it condenses the addition of three equal sides.
Considering an equilateral triangle’s properties, each side measures the same length. When calculating the perimeter, you’re effectively adding the length of one side thrice over, resulting in a straightforward expression: 3s, where \(s\) denotes the length of a single side. This property holds true for any equilateral triangle, making it a simple and efficient way to determine its perimeter without needing individual side measurements.