. Area of a Triangle: Use the determinant formula for the area of a triangle to find the area of a triangle to find the area of a triangle in the figure.
Area of the triangle by using the determinant formula.
The figure of the triangle is,
If a triangle in the coordinate plane has the vertices , , and , then the area of the triangle is given by
where the sign is chosen to make the area positive.
As seen in Figure 1, the coordinates of vertices of the triangle are , , and
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