The Area of a Triangle with Vertices $\left( x _ { 1 } , y _ { 1 } \right),$

question 21

Multiple Choice

The area of a triangle with vertices $\left( x _ { 1 } , y _ { 1 } \right) ,$ $\left( x _ { 2 } , y _ { 2 } \right) ,$ and $\left( x _ { 3 } , y _ { 3 } \right)$ can be given as the absolute value of the determinant $\frac { 1 } { 2 } \left| \begin{array} { l l l } x _ { 1 } & y _ { 1 } & 1 \\x _ { 2 } & y _ { 2 } & 1 \\x _ { 3 } & y _ { 3 } & 1\end{array} \right|$ Use this formula to find the area of each triangle whose coordinates are $( - 6,2 ) ,$ $( 0,3 ) ,$ and $( - 5,6 ) .$

• A)11.0
• B)1.0
• C)15.5
• D)11.5
• E)6.0

---

Definitions:

Land Improvements

Expenses for enhancements made to a parcel of land to make it more usable, which do not directly include the land itself but, for example, landscaping, parking lots, and fences.

Depreciated

Refers to the reduction in value of an asset over time due to wear and tear or obsolescence.

Useful Life

The estimated period over which an asset is expected to be useful in the operations of a business before it is fully depreciated.

Broker Commission

A fee paid to a broker for executing a transaction or providing specialized services.