The 2000-Year-Old Pythagorean Theorem
The Pythagorean Theorem is a 2000-year-old theory that has been taught to countless children in schools all over the world.
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The way they have been taught is that, when squared, the two shorter sides of a triangle equal the squared longer side of the triangle.
Proof of Pythagorean Theorem Using Trigonometry
One question that has puzzled many mathematicians for years is how the Pythagorean theorem can be proved using trigonometry.
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Many theories have been proposed about the problem over the years, but now, two teens from New Orleans have been able to refute these and solve the problem.
The Teens Were Motivated by a $500 Cash Prize
Their teacher, Michelle Blouin Williams, offered her class a $500 cash prize if they could solve it and genuinely believed they wouldn’t be able to.
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However, she was proved wrong when the two teenagers, Calcea Johnson and Ne’Kiya Jackson, were able to solve the problem, as they were motivated by the $500 cash prize.
Johnson and Jackson Took Two Months to Solve the Problem
It took Johnson and Jackson a total of two months to be able to solve the problem.
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The pair also worked on the problem on over 30 pieces of paper until they eventually figured it out.
Johnson and Jackson Found Five Proofs for Trigonometry and Pythagorean Theorem
Over the years, every mathematician has looked at this problem and decided that it was impossible to solve.
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However, over a year since they first solved the problem in 2023, Johnson and Jackson have been able to find five more proofs and have also discovered a general format that could produce a further five proofs.
Jackson and Johnson Presented Their Findings to the American Mathematical Society
Once they made their discovery, Jackson and Johnson presented their findings to the American Mathematical Society.
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In doing so, they became the first high schoolers to present their findings to the society.
Johnson and Jackson Credited Their Teachers With Their Findings
Johnson and Jackson attended St. Mary’s Academy in New Orleans, an all-girls Catholic school.
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They credited their teachers with helping them make the discovery, as they always pushed them to achieve what was previously thought to be impossible.
Johnson and Jackson Have Contradicted Elisha Loomis
Since Johnson and Jackson have proved that there is trigonometric proof of the Pythagorean theorem, they have also contradicted Elisha Loomis’ theory.
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Elisha Loomis was a mathematician whose book, “The Pythagorean Proposition,” stated there was no trigonometric proof of the Pythagorean theorem and that if there was, it wouldn’t be correct.
Mathematicians Thought Trigonometry Was Based on the Pythagorean Theorem
Part of Loomis’ theory was that trigonometry was based on the Pythagorean theorem.
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He said that using trigonometry to prove the Pythagorean theorem would result in going in circles, but it has since been proved wrong.
Some Dismissed the News as Fake
Despite the proof Johnson and Jackson provided, a few people who have dismissed them solving the problem as fake.
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The girls said these people had dismissed their achievements due to them being African-American women and teenagers, with the pair saying they just wanted their achievements to be celebrated as they are.
Johnson and Jackson Were Given the Keys to the City
Despite some people not being overly convinced by their achievement, others have given Johnson and Jackson high praise.
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So much so that they were given the keys to the city of New Orleans, a medieval tradition that means the honored persons can enter and leave a city of their own free will.