Question: The area of a triangle with vertices (x 1 , y 1 ), (x 2 , y 2 ), and (x 3 , y 3

The area of a triangle with vertices (x₁, y₁), (x₂, y₂), and (x₃, y₃) is given by

xi y 1 1 1 X3 3 A = ++ x2 t

(If the answer comes out negative, take the absolute value). A natural gas company locates the three corners of a triangular shaped shale natural gas reserve at (0, 0), (8.45, 3.64), and (1.82, 5.70), where all measurements are in kilometers. Find the area of the reserve.

xi y 1 1 1 X3 3 A = ++ x2 t

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