The area of an equilateral triangle is numerically equal to its perimeter.
Find a side of the triangle [Take `sqrt(3)=1.73`].

Answer

To find the side of an equilateral triangle where the area is numerically equal to its perimeter, we can follow these steps:

### Step 1: Understand the formulas
The area \( A \) of an equilateral triangle with side length \( s \) is given by the formula:
\[ A = \frac{\sqrt{3}}{4} s^2 \]
The perimeter \( P \) of an equilateral triangle is given by:
\[ P = 3s \]

### Step 2: Set up the equation
According to the problem, the area is numerically equal to the perimeter:
\[ \frac{\sqrt{3}}{4} s^2 = 3s \]

### Step 3: Simplify the equation
To simplify the equation, we can divide both sides by \( s \) (assuming \( s \neq 0 \)):
\[ \frac{\sqrt{3}}{4} s = 3 \]

### Step 4: Solve for \( s \)
Now, we can solve for \( s \) by multiplying both sides by 4:
\[ \sqrt{3} s = 12 \]
Next, divide both sides by \( \sqrt{3} \):
\[ s = \frac{12}{\sqrt{3}} \]

### Step 5: Rationalize the denominator
To rationalize the denominator, multiply the numerator and denominator by \( \sqrt{3} \):
\[ s = \frac{12 \sqrt{3}}{3} = 4\sqrt{3} \]

### Step 6: Substitute the value of \( \sqrt{3} \)
Now, we substitute \( \sqrt{3} \) with the given value of 1.73:
\[ s = 4 \times 1.73 \]

### Step 7: Calculate the final value
Now, we multiply:
\[ s = 6.92 \]

### Conclusion
Thus, the side of the equilateral triangle is:
\[ \boxed{6.92 \text{ units}} \]

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