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Area of Triangle formed by Given Coordinates

Medium Additional Topics In Math Geometry

A triangle has vertices at points A(2, 3), B(8, 3), and C(5, 7). Determine the area of triangle ABC.

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

The area A is given by:

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

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