A Triangle with Vertices at (X1, Y1), (X2, Y2), and (X3

question 374

Multiple Choice

A triangle with vertices at (x1, y1) , (x2, y2) , and (x3, y3) has area equal to the absolute value of D, where $$D = \frac { 1 } { 2 } \left| \begin{array} { l l l } x _ { 1 } & y _ { 1 } & 1 \\x _ { 2 } & y _ { 2 } & 1 \\x _ { 3 } & y _ { 3 } & 1\end{array} \right|$$ Find the area of the triangle having vertices at P, Q, and R.
- $$\mathrm { P } ( - 3,2 ) , \mathrm { Q } ( 1 , - 3 ) , \mathrm { R } ( 5,1 )$$

• A) 32
• B) 18
• C) 36
• D) 0

---

Definitions:

Review Tab

A feature in software applications, such as Microsoft Office, that provides tools for proofreading, commenting, and tracking changes in documents.

Thesaurus Button

A tool in word processing software that provides synonyms and antonyms for selected words to help improve writing variety and vocabulary.

Synonyms

Words or expressions that have nearly the same meaning as another word or expression in the same language.

Header

A section at the top of a document or webpage that typically contains introductory information or navigation links.