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

Question 408

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=12x1y11x2y21x3y31D = \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.
- P(3,3) ,Q(0,0) ,R(5,1) \mathrm { P } ( - 3 , - 3 ) , \mathrm { Q } ( 0,0 ) , \mathrm { R } ( 5 , - 1 )


A) 12
B) 18
C) 0
D) 9

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