A pair of incredible high school teens, Ne’Kiya Jackson and Calcea Rujean Johnson, have made a 'really important' discovery. They have seemingly found new proof for Pythagoras’ theorem 🤯
– is one of the most famous in geometry, and has everyday uses such as calculating the distance between the corners of a rectangle.
But over the centuries, mathematicians have struggled to find a definitive proof for the theorem which would not only show that it works, but explain why it does.Previous proofs have almost entirely avoided using trigonometry, as one of the discipline’s fundamental equations is itself largely built around Pythagoras’ theorem – meaning they would be ‘circular’, looping back round to themselves.
Ne’Kiya and Calcea’s proof uses a different trigonometry equation that avoids making it circular, and it may be among the first to do so. In the abstract for their talk to the mathematical society, the two teenagers write: ‘We present a new proof of Pythagoras’s Theorem which is based on a fundamental result in trigonometry — the Law of Sines — and we show that the proof is independent of the Pythagorean trig identity sin2x+cos2x=1.’
Despite the fact their work is not available publicly, a YouTube channel called MathTrain deduced it from the slides projected behind them in pictures released by their school.A few of you have tagged me to talk about this new proof of Pythagoras so here is my take and an explanation of what we think the proof is! Very exciting and big congrats to Ne’Kiya Jackson and Calcea Johnson!! And thanks to MathTrain for the reconstruction of the proof.
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