New Pythagorean Theorem Proof: From Two New Orleans High Schoolers!

If you'd like more details on how Calcea Johnson's and Ne’Kiya Jackson's proof works, you can check out this video: https://youtu.be/p6j2nZKwf20. Jackson's and Johnson's accomplishment isn't just cool 'cause they're in high school. It's also relatively difficult to come up with trigonometric proofs of the Pythagorean theorem, as theirs (mostly) is. Check out the main channel @polymathematic ! The reason for that difficulty is that a lot of trigonometric identities and theorems are based on what's called the Pythagorean identity: sin²x + cos²x = 1. As you might imagine from the name, the Pythagorean identity comes from the Pythagorean theorem, making any proof that relies on it circular. Johnson and Jackson cleverly avoid this by using the Law of Sines instead, along with a clever shape they call the "waffle cone". If you'd like to play with the waffle cone, I've made this Desmos graph: https://www.desmos.com/calculator/tyw7ktgjpq. #pythagoreantheorem #pythagoras #impossibleproof #highschool Follow Tim Ricchuiti: TikTok: https://www.tiktok.com/@polymathematic Mathstodon: https://mathstodon.xyz/@polymathematic Instagram: https://www.instagram.com/polymathematicnet Reddit: https://www.reddit.com/user/polymath-matic Facebook: https://www.facebook.com/polymathematic Watch more Math Videos: Math Minis: https://www.youtube.com/playlist?list=PLrc8spN1b3jkQynJ5heNvSs72gCPj_hwj Math Minutes: https://www.youtube.com/playlist?list=PLrc8spN1b3jmVFYwHiuMzCYJ0y_yiwUge Number Sense: https://www.youtube.com/playlist?list=PLrc8spN1b3jksKkY_oarNFEFAHjrIV97U MATHCOUNTS: https://www.youtube.com/playlist?list=PLrc8spN1b3jlqDkZXtby9lnEaOBy7-ZY0