To determine the length of a side of an equilateral triangle given its perimeter, follow these steps:
1. Understand the Properties of an Equilateral Triangle:
- An equilateral triangle has all three sides of equal length.
2. Identify the Given Information:
- Perimeter of the equilateral triangle is 29.4 centimeters.
3. Relate the Perimeter to Side Length:
- The perimeter of an equilateral triangle is the sum of the lengths of its three equal sides.
- Therefore, let each side of the equilateral triangle be of length \( s \) centimeters.
- The perimeter \( P \) of an equilateral triangle can be expressed as:
[tex]\[
P = 3s
\][/tex]
4. Set Up the Equation:
- Given \( P = 29.4 \):
[tex]\[
29.4 = 3s
\][/tex]
5. Solve for the Side Length \( s \):
- Isolate \( s \) by dividing both sides of the equation by 3:
[tex]\[
s = \frac{29.4}{3}
\][/tex]
- Calculate the value:
[tex]\[
s = 9.8
\][/tex]
6. Conclusion:
- The length of a side of the equilateral triangle is \( 9.8 \) centimeters.
So, the length of each side of the triangle is 9.8 centimeters.
