The distances in kilometers between the three vertices of the so-called Bermuda Triangle are given below.

(a) Below is a sketch of the Bermuda triangle with angles at each location labled $A$, $B$, $C$, and distances between cities labeled $a$, $b$, $c$. Find each angle in the diagram (in degrees) given the information from the above table of distances.

(b) Below is a sketch of the same diagram with a line segment drawn from Miami perpendicular to the opposite side of the triangle. What is the length $d$ of this new line segment?

(c) Using your solutions to the previous parts, find the area of the Bermuda Triangle.

The area of the Bermuda Triangle is $km^2$.

Hint: