Step-by-step explanation:
To find the side lengths of an equilateral triangle with an area of 12 cm², we can follow these steps:
1. **Calculate the height of the equilateral triangle**:
- The area of an equilateral triangle can be calculated using the formula: \( Area = \frac{\sqrt{3}}{4} \times side^2 \)
- Given that the area is 12 cm², we can set up the equation: \( 12 = \frac{\sqrt{3}}{4} \times side^2 \)
- Solve for the side length of the triangle by rearranging the equation and finding the square root of the resulting value.
2. **Find the side lengths**:
- Once you have the side length, you can determine all three side lengths of the equilateral triangle since all sides are equal in an equilateral triangle.
By following these steps, you can find the side lengths of an equilateral triangle with an area of 12 cm².
