{"id":642776,"date":"2024-10-28T07:10:02","date_gmt":"2024-10-28T04:10:02","guid":{"rendered":""},"modified":"2024-10-28T07:10:02","modified_gmt":"2024-10-28T04:10:02","slug":"high-school-students-present-five-new-ways-of-proving-pythagoras-theorem-via-trigonometry","status":"publish","type":"post","link":"https:\/\/buradabiliyorum.com\/en\/high-school-students-present-five-new-ways-of-proving-pythagoras-theorem-via-trigonometry\/","title":{"rendered":"#High school students present five new ways of proving Pythagoras’ Theorem via trigonometry"},"content":{"rendered":"
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\n Ne’Kiya Jackson (left) and Calcea Johnson (right). Credit: Calcea Johnson
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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.<\/p>\n

Their paper detailing their discoveries was published in the journal American Mathematical Monthly<\/i><\/a>.<\/p>\n

Pythagoras’ famous 2,000-year-old theorem, summarized neatly as a2<\/sup> + b2<\/sup>= c2<\/sup>, means that you can work out the length of any side of a right-angled triangle as long as you know the length of the other two sides. Essentially, the square of the longest side (the hypotenuse) is equal to the squares of the two shorter sides added together.<\/p>\n

Many mathematicians over the years have proved the theorem using algebra and geometry. Yet proving it using trigonometry was long thought impossible, as the fundamental formulae of trigonometry are based upon the assumption that the Pythagorean Theorem is true\u2014an example of circular reasoning.<\/p>\n

Nevertheless, both Johnson and Jackson managed to solve the math problem independently of each other and prove Pythagoras’ theory without resorting to circular reasoning\u2014a feat that has only been managed twice previously by professional mathematicians.<\/p>\n

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