Use an appropriate area formula to find the area of the triangle with the given side lengths.
\[
\begin{array}{l}
a=16 m \\
b=9 m \\
c=23 m
\end{array}
\]
The area of the triangle is $\square \mathrm{m}^{2}$.
(Round your answer to the nearest tenth.)
Answer
Final Answer: The area of the triangle is \(\boxed{53.7 \, \text{m}^2}\).
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 \(\boxed{53.7 \, \text{m}^2}\).
