This is a truly remarkable story. A textbook said that it was impossible to prove the Pythagorean Theorem from trigonometry alone. Two US students questioned this claim and developed a new trigonometric proof. Congratulations to Ne'Kiya Jackson and Calcea Johnson for developing this wonderful proof.
0:00 Background
2:00 Outline
3:26 Preliminaries
5:58 Proof
14:20 More Proofs
AMS meeting
https://meetings.ams.org/math/spring2023se/meetingapp.cgi/Paper/23621
WWLTV news
https://youtu.be/Ka1k4i1ueNU
The Guardian
https://www.theguardian.com/us-news/2023/mar/24/new-orleans-pythagoras-theorem-trigonometry-prove
@MathTrain
https://youtu.be/nQD6lDwFmCc
Elisha Loomis The Pythagorean Proposition
https://archive.org/details/in.ernet.dli.2015.84599
Slides
https://i.imgur.com/NUPwN8k.jpeg
Reddit
https://www.reddit.com/r/UpliftingNews/comments/120xhg2/two_teens_make_impossible_mathematical_discovery/
Baudhayana Theorem
https://www.cuemath.com/learn/baudhayana/
Gougu Theorem
https://nzmaths.co.nz/resource/gougu-rule-or-pythagoras-theorem
Euclid I, 47
http://aleph0.clarku.edu/~djoyce/java/elements/bookI/propI47.html
Babylonian formula
https://mathshistory.st-andrews.ac.uk/HistTopics/Babylonian_Pythagoras/
Brahmagupta's law of sines
https://en.wikipedia.org/wiki/Law_of_sines
Pythagoras
https://en.wikipedia.org/wiki/Pythagoras#Attributed_discoveries
Trigonometric proof
https://en.wikipedia.org/wiki/Pythagorean_theorem#Trigonometric_proof_using_Einstein's_construction
Cut The Knot
https://www.cut-the-knot.org/pythagoras/TrigProofs.shtml
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