What is the perimeter formula of an equilateral triangle?
Understand the Problem
The question is asking for the formula to calculate the perimeter of an equilateral triangle, which is a triangle with all sides of equal length.
Answer
\( P = 3s \)
Answer for screen readers
The formula for the perimeter of an equilateral triangle is ( P = 3s ).
Steps to Solve
- Identify the formula for the perimeter of a triangle
The perimeter of any triangle is calculated by adding the lengths of all its sides. For an equilateral triangle, all sides are of equal length.
- Express the sides using a variable
Let the length of each side be represented by the variable $s$. Since there are three sides in an equilateral triangle, we have:
$$ \text{Perimeter} = s + s + s $$
- Simplify the expression
Combine the three sides into one expression:
$$ \text{Perimeter} = 3s $$
- Final formula
Therefore, the formula to calculate the perimeter of an equilateral triangle is:
$$ P = 3s $$
The formula for the perimeter of an equilateral triangle is ( P = 3s ).
More Information
This formula tells you that to find the perimeter, you only need to know the length of one side of the equilateral triangle. Just multiply that length by 3!
Tips
- Forgetting that all three sides are equal in length. Ensure you use the same side length for all terms when calculating.
