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What do Euclid, 12-year-old Einstein, and American President James Garfield have in common? They all came up with elegant proofs for the famous Pythagorean theorem, one of the most fundamental rules of geometry and the basis for practical applications like constructing stable buildings and triangulating GPS coordinates. Betty Fei details these three famous proofs.

Lesson by Betty Fei, directed by Nick Hilditch.

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44 COMMENTS

  1. Jeyaram Harishan Posted on July 20, 2020 at 4:57 pm

    2:39 udoodyoi

    Reply
  2. RAMALINGAM RAVICHANDRAN Posted on July 20, 2020 at 4:57 pm

    1.25

    Reply
  3. The last king Posted on July 20, 2020 at 4:57 pm

    And there was I who didn't even know it has a proof.

    Reply
  4. Adrian Zolla Posted on July 20, 2020 at 4:57 pm

    This video is wrong, it's 3.147

    Reply
  5. Ankit Gupta Posted on July 20, 2020 at 4:57 pm

    In secondary school, our teacher just drew a right angled triangle and then compared the lengths with a ruler to prove it. Does this count as a proof?

    Reply
  6. DEEP JYOTI ACHARJEE Posted on July 20, 2020 at 4:57 pm

    TED ED please make a video on calculus, especially on significance of partial derivatives

    Reply
  7. Sord33 Posted on July 20, 2020 at 4:57 pm

    Hmmm. This complex theorem has many confirmed proofs. I feel like adding another. I'MMA BUILDIT!

    Reply
  8. You Tuber Posted on July 20, 2020 at 4:57 pm

    Pythagoras theorem was first discovered by an indian sage Baudhayan during 800 B.C .
    Approximately 300 years before Pythagoras birth !!!

    Reply
  9. Prajjwal Posted on July 20, 2020 at 4:57 pm

    I understood from the beginning only! From 0:25.. Great explanation…

    Reply
  10. The How to Guide with Azar on MAc Posted on July 20, 2020 at 4:57 pm

    WHo else is watching this at home cause of corona?

    Reply
  11. Koorosh Sadri Posted on July 20, 2020 at 4:57 pm

    I also proved it at exatly 12, but my proof was not new. Doesn't mean that I'm the next Einstein, but If I am, everyone will tell the story. In short: "People Idolize!"

    Reply
  12. Sadman Pranto Posted on July 20, 2020 at 4:57 pm

    In 8th Grade I had to learn 3 of these methods as part of the list of fundamental theorem. Hated the Euclid way.

    Reply
  13. Sasha Sasha Posted on July 20, 2020 at 4:57 pm

    Can be prove by trigonometry

    Reply
  14. akshat gupta Posted on July 20, 2020 at 4:57 pm

    Everyone forgets laws of cosine :'((

    Reply
  15. mtssmanikanta reddy Posted on July 20, 2020 at 4:57 pm

    Totally we have 107 pythagorustheorms one of them is discovered by my maths teacher

    Reply
  16. Bhavin Anghan Posted on July 20, 2020 at 4:57 pm

    This theorem is not of Pythagoras theorem….
    but this theorem is of boudhayan pramey (theorem)…

    Reply
  17. Prakash Chandra Swain Posted on July 20, 2020 at 4:57 pm

    That's also proves (a+b)^2 = a^2+b^2+2ab.

    Reply
  18. Shazam Joker Posted on July 20, 2020 at 4:57 pm

    I was literally thinking about this and now this was in my recommendation

    Reply
  19. Vitthal Pawar Posted on July 20, 2020 at 4:57 pm

    That why we proud as a Indians . But we regret that we were slaves history .

    Reply
  20. Mfd Saifee Posted on July 20, 2020 at 4:57 pm

    Fantastic lesson

    Reply
  21. Rommel Pinca Posted on July 20, 2020 at 4:57 pm

    So why is it still a theorem?

    Reply
  22. haha huhu Posted on July 20, 2020 at 4:57 pm

    I guess it is no longer Pythagorean any more since somebody found it before him

    Reply
  23. MATHS BY ABHINAV SINGH Maths Posted on July 20, 2020 at 4:57 pm

    Good knowledge

    Reply
  24. Alejandro Rodriguez Posted on July 20, 2020 at 4:57 pm

    This help so much thank you 🙏🏼

    Reply
  25. yigit seynur Posted on July 20, 2020 at 4:57 pm

    12 year old einstein scares me

    Reply
  26. 42 Posted on July 20, 2020 at 4:57 pm

    I can actually disprove it using Zeno's paradox.

    Reply
  27. Leonard Castro Posted on July 20, 2020 at 4:57 pm

    I'm high right now

    Reply
  28. fire burp Posted on July 20, 2020 at 4:57 pm

    Help my head dizzy after wacth this in the Quarentine.

    Reply
  29. Chris24 Productions Posted on July 20, 2020 at 4:57 pm

    4:39 southing tells me that's not water…

    Reply
  30. Richard Luo Posted on July 20, 2020 at 4:57 pm

    Can't believe I'm watching this for fun

    Reply
  31. Minwon Jang Posted on July 20, 2020 at 4:57 pm

    This is the only fun mathematics equation period.

    Reply
  32. synseer 84 Posted on July 20, 2020 at 4:57 pm

    Goodmornin dad, you see my daddy isnt a mathematician, he spent most his life on horseback, but i swear he could make a baseball dance, and hes really good at math but if you didnt get to know him you wouldn't know none of that. – Syn

    Reply
  33. farid mohamedyaseen Posted on July 20, 2020 at 4:57 pm

    @2:30

    Reply
  34. farid mohamedyaseen Posted on July 20, 2020 at 4:57 pm

    Pythagoras Did Not ‘DISCOVER’ The Pythagorean Theorem – History Facts

    Without trigonometry nothing is possible. There will be no Architecture, no ocean exploration, no astronomy, no space-travel, no science, not your house, not your car, not your computer, infact no modern technology that you can think of.

    And Pythagorean theorem is the foundation of trigonometry.

    So did Pythagoras first discover it?

    No! Pythagoras indeed brought this theorem to the Greeks.

    Key historian of western philosophy Bertrand Russell describes it: “The combination of mathematics and theology, which began with Pythagoras, characterized religious philosophy in Greece. Orphism before Pythagoras was analogous to Asiatic mystery religions.”

    Otherwise, think about it, how could they built Pyramids without trigonometry? And what about the ancient giant ponds in Indus Valley civilization?

    Pythagoras was a native of Samos, who disliked his own government and spent much of his time roving in the lands on the other side of the ocean, which included Egypt, Babylon and eastern lands ahead. By the standards of his time, they were far richer in Mathematics, Chemistry and Philosophy.

    As he returned to the Greeks carrying all that knowledge, they believed him to be ‘the son of God’. Pythagoras enjoyed this divine position, and attempted to found a new religion, which included weird mandates, such as prohibition of ‘eating hearts of animals’, ‘picking up fallen stuffs’ and ‘looking in mirrors from beside the lights’.

    And from there his school propagated science and mathematics ahead, which led to the famous greek rise of wisdom that laid the foundation to all the further western developments.

    Reply
  35. Mangesh Deshmukh Posted on July 20, 2020 at 4:57 pm

    Mangesh Deshmukh

    Reply
  36. days ma d Posted on July 20, 2020 at 4:57 pm

    You guys gotta change the Korean Sub, its 12 year old Einstein. Not 20 year old Einstein. ples

    Reply
  37. cam. Posted on July 20, 2020 at 4:57 pm

    Someone please tell me the two real world applications of the Pythagorean Theorem that was mentioned in this video for my homework please. I can’t find it lol

    Reply
  38. Taka Taki Posted on July 20, 2020 at 4:57 pm

    The truth however is that ancient Indian sage Kanada came up with Atomic Theory over 2,600 years before John Dalton and ancient Indian mathematician and possibly a sage and an architect name Baudhayana actually gave the Pythagoras Theorem over 200 years before Pythagoras was even born.

    Thank you for not mentioning the names.

    Reply
  39. MusicCando Posted on July 20, 2020 at 4:57 pm

    Anyone else notice that their eyebrows are made out of right triangles? If yes plsssssss subscribe to my channel and support me……………

    Reply
  40. Alya Nabila Ahmad Zuriat Posted on July 20, 2020 at 4:57 pm

    This is so AMAZING

    Reply
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