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PSAT/NMSQT
PSAT Math Test - Calculator Section

Area of Triangle in Coordinate Plane

Hard Additional Topics In Math Geometry

In the coordinate plane, the vertices of triangle ABC are located at the points A(-1, 2), B(3, 6), and C(5, -4).

Calculate the area of triangle ABC. To find the area of a triangle given its vertices at points $(x_1, y_1)$, $(x_2, y_2)$, and $(x_3, y_3)$, you can use the formula:

$$ ext{Area} =\frac{1}{2} imes |x_1(y_2 - y_3) + x_2(y_3 - y_1) + x_3(y_1 - y_2)| $$

Hint

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