Chapter 4.5, Problem 17CYU

(a)

To determine

To find: The area of the triangle on the map.

Answer to Problem 17CYU

The area of the triangle on the map is 15.5 units².

Explanation of Solution

Given,

The coordinates of the Bermuda triangle is given as,

  $\left(4,4\right),\left(9,5,7\right)\text{ and }\left(9,1\right)$

Calculation:

Calculate the area of the triangle.

  $\begin{array}{c}A=9+\frac{1}{2}\left(13\right)\\ =9+6.5\\ =15.5{\text{ units}}^2\end{array}$

Thus, the area of the triangle is 15.5 units².

(b)

To determine

To find: The area of the Bermuda triangle.

Answer to Problem 17CYU

The area of the Bermuda triangle is 482,343.75 mi².

Explanation of Solution

Given,

The coordinates of the Bermuda triangle is given as,

  $\left(4,4\right),\left(9,5,7\right)\text{ and }\left(9,1\right)$

Calculation:

Calculate the area of the triangle.

  $\begin{array}{c}A=9\left(175\right)+\frac{1}{2}\left(13\right)\left(175\right)\\ =482,343.75\text{}{\text{mi}}^2\end{array}$

Thus, the area of the Bermuda triangle is 482,343.75 mi².