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

(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.

Transcribed Image Text:

xi yı 1 Уг 1 1 X3 У3 A = ++ x2 t