What is the perimeter of an equilateral triangle?
Understand the Problem
The question is asking for the formula or method to calculate the perimeter of an equilateral triangle, which depends on the length of one of its sides. The perimeter of an equilateral triangle can be found by multiplying the length of one side by three.
Answer
The perimeter of an equilateral triangle is \( P = 3s \).
Answer for screen readers
The formula for the perimeter of an equilateral triangle is ( P = 3s ).
Steps to Solve
- Identify the Length of One Side
To calculate the perimeter of an equilateral triangle, we first need to know the length of one side. Let this length be denoted as $s$.
- Use the Perimeter Formula
The formula for the perimeter $P$ of an equilateral triangle is given by:
$$ P = 3 \cdot s $$
This formula states that the perimeter is three times the length of one side.
- Substitute the Value of $s$
Once you have the value of $s$, substitute it into the formula. For example, if $s = 4$, then:
$$ P = 3 \cdot 4 = 12 $$
This gives us the perimeter.
The formula for the perimeter of an equilateral triangle is ( P = 3s ).
More Information
An equilateral triangle has all three sides of equal length, which simplifies calculating the perimeter. This property makes it easy to remember that multiplying the side length by three gives the total perimeter.
Tips
- A common mistake is forgetting to multiply the side length by three. Always remember that all three sides are equal, so the perimeter is simply three times the length of one side.
