Mathemaniac | 4 DIFFERENT ways to prove Heron's formula @mathemaniac | Uploaded 5 years ago | Updated 2 hours ago
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:
manuscriptsandmore.liverpool.ac.uk/?p=3947 (Euclid’s photo)
famous-mathematicians.com/heron-of-alexandria (Heron’s photo)
famousmathematicians.net/pythagoras (Pythagoras’ photo)
brilliant.org/wiki/cosine-rule (Cosine law proof)
en.wikipedia.org/wiki/Heron%27s_formula#Proofs (Selected Heron's formula proof)
Other useful links:
mathsdoctor.co.uk/revision-help/gcse/geometry-and-measures/proof
quora.com/How-do-you-derive-Heron%E2%80%99s-Area-Formula/answer/Trevor-Cheung
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
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:
manuscriptsandmore.liverpool.ac.uk/?p=3947 (Euclid’s photo)
famous-mathematicians.com/heron-of-alexandria (Heron’s photo)
famousmathematicians.net/pythagoras (Pythagoras’ photo)
brilliant.org/wiki/cosine-rule (Cosine law proof)
en.wikipedia.org/wiki/Heron%27s_formula#Proofs (Selected Heron's formula proof)
Other useful links:
mathsdoctor.co.uk/revision-help/gcse/geometry-and-measures/proof
quora.com/How-do-you-derive-Heron%E2%80%99s-Area-Formula/answer/Trevor-Cheung
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
