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PSAT/NMSQT
PSAT Math Test - Calculator Section

Area of Triangle in Coordinate Plane

Very Hard Additional Topics In Math Geometry

In a coordinate plane, consider a triangle with vertices at points A(1, 2), B(5, 6), and C(5, 2).

Calculate the area of triangle ABC.

Use the formula for the area of a triangle given coordinates:

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

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