How many ways are there to prove the Pythagorean theorem? – Betty Fei

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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. 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?

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

  3. 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!"

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

  5. 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

  6. 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.

  7. 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

  8. 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.

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

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