Step 1 :Given the sides of the triangle as a = 16 m, b = 9 m, and c = 23 m.
Step 2 :We can calculate the semi-perimeter of the triangle (s) using the formula s = (a + b + c) / 2. Substituting the given values, we get s = 24.0 m.
Step 3 :We can then calculate the area of the triangle using Heron's formula, which states that the area is equal to the square root of [s(s - a)(s - b)(s - c)]. Substituting the given values and s = 24.0 m, we get the area = 53.7 m².
Step 4 :Final Answer: The area of the triangle is \(\boxed{53.7 \, \text{m}^2}\).