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ISEE Upper Level
Mathematics Achievement

Area of Triangle in Coordinate Plane

Medium Geometry Coordinate Geometry

In the coordinate plane, consider points A(3, 4), B(7, 8), and C(3, 8).

Determine the area of triangle ABC formed by these three points.

To find the area of triangle ABC with vertices at coordinates $(x_1, y_1)$, $(x_2, y_2)$, and $(x_3, y_3)$, you can use the formula:

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

Hint

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