Question

The Bermuda Triangle is roughly defined by Hamilton, Bermuda; San Juan, Puerto Rico; and Fort Lauderdale, Florida. The distances from Hamilton to Ft. Lauderdale, Ft. Lauderdale to San Juan, and San Juan to Hamilton are approximately 1028, 1046, and 965 miles, respectively. Ignoring curvature of Earth, approximate the area of the Bermuda Triangle to the nearest square mile.

Answer 1

Answer:

442554 square miles

Step-by-step explanation:

The area of a triangle is given by :

0.5*A*B*Sin(∅) where A and B are two sides and ∅ is the angle between them.

We will find ∅ by applying cosine rule:

c^2 = a^2 + b^2 − 2ab cos(∅)

Where ∅ is angle between sides a and b.

In this example:

a=1028, b=1046, c= 965

Plugging in the values, we get ∅=55.4°

Applying the formula for Area:

0.5*A*B*Sin(∅)

0.5*1028*1046*Sin(55.4)= 442554 square miles