Here is a "Proof of the Law of Cosines" by the same author:
https://www.tandfonline.com/doi/pdf/10.4169/amer.math.monthl...
But this time not with complex numbers.
https://www.tandfonline.com/doi/pdf/10.4169/amer.math.monthl...
But this time not with complex numbers.
It may not have a financial cost, but it certainly has an opportunity cost, and contributes to "Account Fatigue".
But loved the proof of Heron's formula, and I'm pleased to be able to say thank you in person, and make sure I give credit when I use it for the Math Club talks I do.
Great work ... feel free to contact me if you are so inclined, or put an email address in your profile.