The length of each side of an equilateral triangle formed with a wire of length 96 cm is_________.

Options

A. 23 cm
B. 32 cm
C. 28 cm
D. 96 cm

Answer

To find the length of each side of an equilateral triangle formed with a wire of length 96 cm, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding the Properties of an Equilateral Triangle**:
An equilateral triangle has all three sides equal in length. Let's denote the length of each side as \( x \).

2. **Setting Up the Equation for the Perimeter**:
The perimeter \( P \) of an equilateral triangle is the sum of the lengths of all its sides. Therefore, we can express the perimeter as:
\[ P = x + x + x = 3x \]
Since we have a wire of length 96 cm, we set the perimeter equal to this length:
\[ 3x = 96 \]

3. **Solving for \( x \)**:
To find the length of each side \( x \), we need to isolate \( x \) in the equation:
\[ x = \frac{96}{3} \]

4. **Calculating the Value**:
Now, we perform the division:
\[ x = 32 \text{ cm} \]

5. **Conclusion**:
Therefore, the length of each side of the equilateral triangle formed with the wire is:
\[ \text{Length of each side} = 32 \text{ cm} \]