Question

an equilateral triangle has perimeter p. the length of one side is $\frac{p}{3}$. which expression is equivalent to the length of one side? $\frac{1}{3}p$ $3p$ $\frac{2}{3}p$ $\frac{3}{1}p$

Explanation:

Step1: Recall perimeter formula for equilateral triangle

The perimeter \(P\) of an equilateral triangle with side - length \(s\) is \(P = 3s\).

Step2: Solve for side - length \(s\)

We can solve the equation \(P = 3s\) for \(s\) by dividing both sides of the equation by 3. So \(s=\frac{1}{3}P\).

Answer:

\(\frac{1}{3}P\)