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.... (Euclid’s photo)

https://famous-mathematicians.com/her... (Heron’s photo)

https://www.famousmathematicians.net/... (Pythagoras’ photo)

https://brilliant.org/wiki/cosine-rule/ (Cosine law proof)

https://en.wikipedia.org/wiki/Heron%2... (Selected Heron's formula proof)

Other useful links:

https://www.mathsdoctor.co.uk/revisio...

https://www.quora.com/How-do-you-deri...

https://ckhtrevor.quora.com/Brahmagup...

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!

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#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