Here's a good resource for learning more about barycentric coordinates: https://users.csc.calpoly.edu/~zwood/teaching/csc471/2017F/barycentric.pdf
Here's a video explaining why Heron's formula works https://www.youtube.com/watch?v=9qbpmYqr4so
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Here's a good resource for learning more about barycentric coordinates: https://users.csc.calpoly.edu/~zwood/teaching/csc471/2017F/barycentric.pdf