The vertices are $(x_1, y_1) = (0,4)$, $(x_2, y_2) = (5,1)$, and $(x_3, y_3) = (3,2)$.
The formula for the area of a triangle using determinants is given by:
Area $= \frac{1}{2} | \det(A) |$
where $A$ is the matrix formed by the coordinates of the vertices:
$A =
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