Question

the perimeter of the equilateral triangle below is 75. solve for the value of x. 5x a. 15 b. 5 c. 75 d. 50

Explanation:

Step1: Recall perimeter formula for equilateral triangle

An equilateral triangle has all sides equal. If one side is $5x$, then the perimeter $P = 3\times(5x)$.

Step2: Set up the equation

We know that $P = 75$, so $3\times(5x)=75$.

Step3: Simplify the left - hand side

$15x = 75$.

Step4: Solve for x

Divide both sides by 15: $x=\frac{75}{15}=5$.

Answer:

B. 5