Use Heron's Area Formula to find the area of the triangle. (Round your answer to two decimal places.) \[ a=5.7, b=11.1, c=8 \]

Step 1 ：Given the lengths of the sides of the triangle as \(a = 5.7\), \(b = 11.1\), and \(c = 8\).

Step 2 ：We can calculate the semi-perimeter of the triangle, \(s\), using the formula \(s = \frac{a + b + c}{2}\). Substituting the given values, we get \(s = 12.4\).

Step 3 ：Next, we can find the area of the triangle using Heron's formula: \(Area = \sqrt{s(s - a)(s - b)(s - c)}\).

Step 4 ：Substituting the values of \(s\), \(a\), \(b\), and \(c\) into the formula, we get \(Area = 21.799486232478056\).

Step 5 ：Rounding to two decimal places, the area of the triangle is \(21.80\) square units.

Step 6 ：\(\boxed{21.80}\) is the final answer.