Louisiana students Ne’Kiya Jackson and Calcea Johnson wowed their teachers in 2022 when they discovered a new way to prove the 2000-year-old Pythagorean theorem in response to a bonus question in a high school math contest. But that was only the beginning.



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Phys.org

United Kingdom

High school students present five new ways of proving Pythagoras' Theorem via trigonometry

Over the years, many mathematicians have tried to prove the theorem using algebra and geometry but using trigonometry was long believed impossible

Media Bias/Fact Check

NDTV

Independent Media

Gautam Adani

New Delhi

Delhi Division

Delhi

India

US Teens Come Up With 5 New Ways Of Proving Pythagoras Theorem Using Trigonometry

Ne’Kiya Jackson and Calcea Johnson have published a paper on a new way to prove the 2000-year-old Pythagorean theorem. Their work began in a high school math contest.

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Warner Bros. Discovery

Atlanta

Fulton County

Georgia

United States

Students discover and publish unexpected proof for 2,000 year-old mathematical theory

Two young scientists with an affinity for mathematics succeeded in what experts considered almost impossible for a long time: They proved the famous Pythagorean theorem (a² + b² = c²) using trigonometry — and this several times over. The crux of this: Trigonometry is a branch of geometry, and its basic formulas are based on the assumption that the Pythagorean theorem is true. There is therefore a threat of a so-called circular conclusion — i.e. …

Zwei Mathematik-affinen Nachwuchswissenschaftlerinnen ist gelungen, was in der Fachwelt lange Zeit als nahezu unmöglich galt: Sie haben den berühmten Satz des Pythagoras (a² + b² = c²) mit Mitteln der Trigonometrie bewiesen – und das gleich mehrfach. Die Krux dabei: Die Trigonometrie ist ein Teilgebiet der Geometrie, und deren grundlegende Formeln beruhen auf der Annahme, dass der Lehrsatz des Pythagoras wahr ist. Es droht also ein sogenannter Z…

Zwei US-Teenagerinnen überraschen mit Beweis

Kronen Zeitung

Vienna

Austria

Two US teenage girls surprise with proof

In 2022, U.S. high school students Calcea Johnson and Ne'Kiya Jackson astonished teachers when they discovered a new way to prove Pythagoras' theorem using trigonometry after entering a competition at their local high school. As a result, both students were awarded keys to the city of New Orleans, and even received personal praise from Michelle Obama.

a² + b² = c²: Most people know the Pythagorean theorem from school. However, only a few people have managed to prove it so far, although two participants in a school competition in the USA managed to do so several times.

a² + b² = c²: Den Satz des Pythagoras kennen die meisten aus der Schulzeit. Ihn zu beweisen, ist bislang allerdings nur wenigen gelungen, zwei Teilnehmerinnen eines Schul-Wettbewerbs in den USA dann jedoch gleich mehrfach.

Junge Frauen überraschen Mathe-Welt mit Pythagoras-Beweisen – Lob von Michelle Obama

Spiegel

Germany

Young women surprise math world with Pythagoras proofs – praise from Michelle Obama

Many people remember this from school: a² + b² = c². There are many proofs of this formula, but some are very tricky. Two American teenagers have now achieved something special.

Das kennen viele noch aus der Schule: a² + b² = c². Beweise dieser Formel gibt es viele, doch manche sind sehr knifflig. Zwei amerikanischen Teenagern ist nun etwas Besonders gelungen.

Pythagoras-Beweise: Schülerinnen überraschen Mathe-Welt

Frankfurter Allgemeine

Frankfurt

Hesse

Pythagoras proofs: Students surprise math world

Many people know the Pythagorean theorem from school. There are also many proofs of the formula a² + b² = c², but some are tricky. A competition at their high school attracts two young women. They receive awards for their successful proof and praise from former First Lady Michelle Obama.

Den Satz des Pythagoras kennen viele aus der Schule. Auch Beweise der Formel a² + b² = c² gibt es viele, doch manche sind knifflig. Ein Wettbewerb an ihrer Highschool lockt zwei junge Frauen. Für ihre erfolgreiche Beweisführung erhalten sie Auszeichnungen und ein Lob von Ex-First-Lady Michelle Obama.

Überraschung in der Mathe-Welt: Zwei Schülerinnen gelingt mehrfacher Pythagoras-Beweis

n-tv.de

Bertelsmann Stiftung

Surprise in the math world: Two students succeed in multiple Pythagorean proofs

Using trignonometry, the young scientists have succeeded in doing what the experts had previously failed to do.

Mit Mitteln der Trignonometrie ist den jungen Nachwuchswissenschaftlerinnen gelungen, woran die Fachwelt bisher gescheitert war.

US-Teenagerinnen überraschen Mathematik-Welt mit Pythagoras-Beweis

Die Presse

Styria Media Group

US teenagers surprise math world with Pythagoras proof

In their peer-reviewed work, Calcea Johnson and Ne'Kiya Jackson present five new ways of proving Pythagoras' Theorem via trigonometry. They also detail a new method for finding proofs that yield at least five more.

Science Daily

Daniel Hogan

Teens who made history with Pythagoras' theorem discovery publish their first academic paper with new proofs

The crux of the matter is that trigonometry is a branch of geometry, and its basic formulas are based on the assumption that the Pythagorean theorem is true. This means that there is a risk of circular reasoning - a line of reasoning in which the thing to be proven is already a prerequisite. Without circular reasoning, professional mathematicians have only succeeded in proving this twice, the publisher said. In addition, there are hundreds of ot…

Die Krux dabei: Die Trigonometrie ist ein Teilgebiet der Geometrie, und deren grundlegende Formeln beruhen auf der Annahme, dass der Satz des Pythagoras wahr ist. Es droht also ein Zirkelschluss – eine Beweisführung, in der das zu Beweisende schon als Voraussetzung steckt.Ohne Zirkelschluss sei professionellen Mathematikern erst zweimal ein solcher Beweis geglückt, teilte der Verlag mit. Darüber hinaus gibt es Hunderte andere Beweise des Jahrtau…

Students discover and publish unexpected proof for 2,000 year-old mathematical theory

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