Solve the problem.
-Find the area of the Bermuda Triangle if the sides of the triangle have the approximate lengths 844 miles, 921 miles, and 1,314 miles.
A) 510,414 mi
B) 386,440 mi
C) 1,545,758 mi
D) 489,843 mi

Question

Quizplus · Accepted Answer

To find the area of a triangle when the lengths of all three sides are known, you can use Heron's formula. Heron's formula states that the area $A$ of a triangle with side lengths $a$, $b$, and $c$ and semiperimeter $s$ is given by $A = \sqrt{s(s-a)(s-b)(s-c)}$, where $s = \frac{a + b + c}{2}$. For the Bermuda Triangle with sides 844 miles, 921 miles, and 1,314 miles, first calculate the semiperimeter: $s = \frac{844 + 921 + 1,314}{2} = 1,539.5$ miles. Then, apply Heron's formula: $A = \sqrt{1,539.5(1,539.5-844)(1,539.5-921)(1,539.5-1,314)}$, which gives an area of approximately 386,440 square miles.

Solve the Problem. -Find the Area of the Bermuda Triangle If the Sides