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SSAT Middle Level
Quantitative (Math)

Area of Triangle in Coordinate Geometry

Very Hard Geometry And Measurement Coordinate Geometry

In a coordinate plane, consider triangle ABC with vertices A(1, 1), B(5, 5), and C(5, 1).

To find the area of triangle ABC, you can use the formula:

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

where the vertices of the triangle are represented as (x1, y1), (x2, y2), and (x3, y3).

Using the coordinates of triangle ABC, calculate the area.

Hint

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