Answer
$447,242$ square miles
Work Step by Step
The formula for the area of a triangle with vertices $(x_1,y_1)$, $(x_2,y_2)$, $(x_3,y_3)$ is:
$$\text{Area}=\pm\dfrac{1}{2}\begin{vmatrix}x_1&y_1&1\\x_2&y_2&1\\x_3&y_3&1\end{vmatrix}.\tag1$$
We are given the vertices:
$$\begin{align*}
(x_1,y_1)&=(938,454)\\
(x_2,y_2)&=(900,-518)\\
(x_3,y_3)&=(0,0).
\end{align*}$$
Apply formula $(1)$ to calculate the area:
$$\begin{align*}
\text{Area}&=\pm\dfrac{1}{2}\begin{vmatrix}938&454&1\\900&-518&1\\0&0&1\end{vmatrix}\\
&=\pm\dfrac{1}{2}[(938(-518)+0+0)-(900\cot 454+0+0)]\\
&=447,242.
\end{align*}$$
So the area of the Bermuda Triangle is $447,242$ square miles.
