Two sisters from New Orleans say they have proven the Pythagoras’s theorem by using trigonometry.

Bboystyle

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Two New Orleans high school seniors who say they have proven Pythagoras’s theorem by using trigonometry – which academics for two millennia have thought to be impossible – are being encouraged by a prominent US mathematical research organization to submit their work to a peer-reviewed journal.
Calcea Johnson and Ne’Kiya Jackson, who are students of St Mary’s Academy, recently gave a presentation of their findings at the American Mathematical Society south-eastern chapter’s semi-annual meeting in Georgia.
They were reportedly the only two high schoolers to give presentations at the meeting attended by math researchers from institutions including the universities of Alabama, Georgia, Louisiana State, Ohio State, Oklahoma and Texas Tech. And they spoke about how they had discovered a new proof for the Pythagorean theorem.



More on it thru link. I think they should submit this even if it is proven wrong. Still, its great to see our folks doing this at such a young age.
 

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The 2,000-year-old theorem established that the sum of the squares of a right triangle’s two shorter sides equals the square of the hypotenuse – the third, longest side opposite the shape’s right angle. Legions of schoolchildren have learned the notation summarizing the theorem in their geometry classes: a2+b2=c2.

As mentioned in the abstract of Johnson and Jackson’s 18 March mathematical society presentation, trigonometry – the study of triangles – depends on the theorem. And since that particular field of study was discovered, mathematicians have maintained that any alleged proof of the Pythagorean theorem which uses trigonometry constitutes a logical fallacy known as circular reasoning, a term used when someone tries to validate an idea with the idea itself.

Johnson and Jackson’s abstract adds that the book with the largest known collection of proofs for the theorem – Elisha Loomis’s The Pythagorean Proposition – “flatly states that ‘there are no trigonometric proofs because all the fundamental formulae of trigonometry are themselves based upon the truth of the Pythagorean theorem’.”

But, the abstract counters, “that isn’t quite true”. The pair asserts: “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.”
In short, they could prove the theorem using trigonometry and without resorting to circular reasoning.
 

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Charles Barkley keeps $1M promise after 2 New Orleans students solve Pythagorean Theorem​



NO.mathstudents.liv.adv.1047.JPG


St. Mary’s Academy seniors Ne’Kiya Jackson and Calcea Johnson are seen at the school in New Orleans on Friday, March 24, 2023. (Photo by Brett Duke, NOLA.com | The Times-Picayune)

STAFF PHOTO BY BRETT DUKE

Roughly four months after NBA legend Charles Barkley promised $1 million to St. Mary's Academy in New Orleans East, the private school where two students cracked a centuries-old mathematical equation has received its first $100,000 from Barkley.

The school will continue to receive the donation in installments over the next decade, school officials said in a press release Wednesday.

Calcea Johnson and Ne’Kiya Jackson, who have since graduated from St. Mary's Academy, were featured on CBS 60 Minutes in May after solving the Pythagorean Theorem — an equation that had stumped mathematicians for roughly 2,000 years. The segment inspired Barkley to donate to the school.

A representative from the Charles Barkley Foundation said that the former professional basketball player is "focused on transforming future generations" through educational opportunities.

"[Barkley] has a love and passion for what the academy stands for and how it is shaping the lives and futures of young girls in New Orleans," the representative said.

Pamela Rogers, president of St. Mary's Academy, said in the press release that the staff are "forever grateful" for the 10-year gift and Barkley's support of their students.

"This transformative gift will assist students as they excel and achieve whatever dream they create within the walls of St. Mary’s Academy,” Rogers said.

The donation will be used to enhance St. Mary Academy's educational experience and provide students with opportunities to grow within and outside of the classroom, according to the press release.

Solving Pythagorean Theorem​


During their senior year, Johnson and Jackson spent last winter break focused on a bonus question for a math contest in their class.

The bonus question was far more difficult than what students typically see written on tests or across a classroom whiteboard. In fact, it was deemed impossible to answer, until Johnson and Jackson proved that wasn't the case.

The pair obsessively worked for months to solve the theorem. They even spent Mardi Gras break meeting on Zoom, rather than on the chaotic, float-ridden streets of New Orleans.

“For two months we worked together nonstop — during school, after school, at home, at lunch,” Johnson told The Times-Picayune last year.

With the use of trigonometry, Johnson and Jackson eventually solved the Pythagorean Theorem — a Greek principle surrounding the relations between three sides of a right triangle. The mathematical puzzle has been proven in many ways over thousands of years, but never with trigonometry.

Despite their achievement, when CBS correspondent Bill Whitaker asked Johnson and Jackson if they were math geniuses during the segment, both shook their heads.

"Not at all," Jackson said.

From CBS press release.

Whitaker said in the press release that he was not only impressed by the two students, but St. Mary Academy's long history of teaching students who go on to be successful adults. While recounting his interview with Johnson and Jackson, Whitaker described the women in three words: "brilliant, yet humble."

Neither plan to pursue a career in math, they told Whitaker in May. Johnson is studying environmental engineering at Louisiana State University, and Jackson is attending Xavier University in New Orleans, after earning a full-ride scholarship for pharmacy school.
 

Lord Beasley

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Even though I'm too dumb to understand this, I :salute: these intelligent BLACK young women.

as for Charles, We gonna sweep this under the rug. The Charles Barkley c00n narrative lives on
 
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