If each side of a triangle is a cm, then its area = ...... `cm^(2)`.

Answer

To find the area of an equilateral triangle where each side is 1 cm, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the type of triangle**: Since all sides are equal (1 cm), we have an equilateral triangle.

2. **Use the formula for the area of an equilateral triangle**: The formula to calculate the area \( A \) of an equilateral triangle with side length \( a \) is given by:
\[ A = \frac{\sqrt{3}}{4} a^2 \]

3. **Substitute the value of the side**: In this case, the side \( a = 1 \) cm. Therefore, we substitute \( a \) into the formula:
\[ A = \frac{\sqrt{3}}{4} (1)^2 \]

4. **Calculate the area**: Simplifying the equation gives:
\[ A = \frac{\sqrt{3}}{4} \cdot 1 = \frac{\sqrt{3}}{4} \text{ cm}^2 \]

5. **Final answer**: Thus, the area of the triangle is:
\[ A = \frac{\sqrt{3}}{4} \text{ cm}^2 \]