### Video Transcript

The side length of an equilateral triangle is πΏ and its perimeter is π. What is the mathematical relation between π and πΏ? Is it (A) π equals πΏ plus three. (B) π equals πΏ minus three. (C) π equals three πΏ. Or (D) π equals one-third πΏ. What is the term used to describe πΏ in π? Is it (A) a variable or (B) a constant?

An equilateral triangle has three sides of equal length. In this question. We are told theyβre of length πΏ. The perimeter of any shape is the distance around the outside. This means that π is equal to πΏ plus πΏ plus πΏ. This simplifies to three πΏ. We can calculate the perimeter of any equilateral triangle by multiplying its side length by three. The correct one of our answers is option (C) π is equal to three πΏ. We can use this equation to calculate the perimeter of any equilateral triangle when given the side length.

The second part of our question wants us to decide whether the term πΏ is a variable or a constant. A constant term will be one that never changes, for example, the positive three in option (A) and the negative three in option (B). A variable, on the other hand, will change or alter. As πΏ is the side length of the equilateral triangle, this will vary depending on the size of the triangle. And πΏ is therefore a variable. The correct answer is option (A). In the equation π is equal to three πΏ, πΏ is a variable and three is the coefficient of πΏ.