Calculate the area of ​​the object in the Cartesian plane

I wonder if someone can help me find the area of ​​a two-dimensional object in the Cartesian plane when we know the coordinates of each point. For example: I want to calculate the area of ​​a triangle. A (12.34) B (45.89) C (25.35)

I want the general algorithm to detect any 2-D region of an object.

Thank.

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Here you go, uses triangulation. This was literally Google’s best result when I looked for a “polygon area with a given set of points." Please do your research before publishing.

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