## Precalculus (6th Edition) Blitzer

The area of the triangle to the nearest square inch is $206\text{ sq in}\text{.}$
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 $206\text{ sq in}\text{.}$