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Currently Playing: 4 DIFFERENT ways to prove Heron's formula

Your high school Math(s) teacher might not even explain to you how Heron's formula is derived, let alone Heron's original idea. This video explains 4 different ways to prove the Heron's formula. Note: This is a sort of experiment for longer videos. I am not exactly sure whether this would be helpful for both you and me, but let's see. Sources: https://manuscriptsandmore.liverpool.ac.uk/?p=3947 (Euclid’s photo) https://famous-mathematicians.com/heron-of-alexandria/ (Heron’s photo) https://www.famousmathematicians.net/pythagoras/ (Pythagoras’ photo) https://brilliant.org/wiki/cosine-rule/ (Cosine law proof) https://en.wikipedia.org/wiki/Heron%27s_formula#Proofs (Selected Heron's formula proof) Other useful links: https://www.mathsdoctor.co.uk/revision-help/gcse/geometry-and-measures/proof/ https://www.quora.com/How-do-you-derive-Heron%E2%80%99s-Area-Formula/answer/Trevor-Cheung https://ckhtrevor.quora.com/Brahmagupta-s-formula-more-about-Heron-s-formula Other than commenting on the video, you are very welcome to fill in a Google form linked below, which helps me make better videos by catering for your math levels: https://forms.gle/QJ29hocF9uQAyZyH6 If you want to know more interesting Mathematics, stay tuned for the next video! SUBSCRIBE and see you in the next video! #mathemaniac #math #heron'sformula #proofs #cyclicquad #geometry Video chapter feature: 00:00 Intro 00:54 Using cosine law 02:30 Using Pythagoras theorem 03:34 Geometric proofs background 07:02 Heron's original proof 11:22 Modernised Heron's proof 14:19 Endcard stuff