Answer
The area of the triangle to the nearest square inch is $206\text{ sq in}\text{.}$
Work Step by Step
Using the formula,
$\begin{align}
& s=\frac{1}{2}\left( a+b+c \right) \\
& =\frac{1}{2}\left( 17+45+32 \right) \\
& =47
\end{align}$
And, the area is given by:
$\begin{align}
& A=\sqrt{s\left( s-a \right)\left( s-b \right)\left( s-c \right)} \\
& =\sqrt{47\left( 47-17 \right)\left( 47-45 \right)\left( 47-32 \right)} \\
& =\sqrt{42300} \\
& \approx 206
\end{align}$
Hence, the required area is $206\text{ sq in}\text{.}$
Therefore, the area of the triangle to the nearest square inch is $206\text{ sq in}\text{.}$
