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SSAT Middle Level
Quantitative (Math)

Area of Triangle in Coordinate Plane

Hard Geometry And Measurement Coordinate Geometry

In a coordinate plane, points A, B, and C are defined as follows:

Point A is located at (2, 3), Point B at (2, -1), and Point C at (5, 3).

What is the area of triangle ABC?

Use the formula for the area of a triangle given by the vertices at coordinates (x1, y1), (x2, y2), and (x3, y3):

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

Hint

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