If $A(x_1, y_1), B(x_2, y_2),$ and $C(x_3, y_3)$ are the vertices of $\Delta ABC,$ then the area of $\Delta ABC$ is equal to:

  • A
    $\frac{1}{2}|x_1(x_2 - x_3) + y_1(y_2 - y_3)|$
  • B
    $\frac{1}{2}|x_1 y_2 - x_2 y_3 + x_3 y_1 - x_1 y_3|$
  • C
    $\frac{1}{2}|x_1(y_2 - y_3) + x_2(y_3 - y_1) + x_3(y_1 - y_2)|$
  • D
    $|x_1(x_2 - y_3) + x_2(x_3 - y_1) + x_3(x_1 - y_2)|$

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