Use Pythagoras’ theorem to show a triangle is right-angled or to find one side of a right-angled triangle when two sides are known. Make sure you are confident at substituting into and manipulating ...
If the sides of the right-angled triangle are labelled 𝑎, 𝑏 and 𝑐 then Pythagoras' theorem can be written as the formula 𝑎² + 𝑏² = 𝑐². Pythagoras' theorem can be used to find the length of line ...
The Pythagorean Theorem—discovered by the Greek mathematician Pythagoras in the 6th century BCE—is a cornerstone of mathematics. Simply stated as a 2 + b 2 = c 2, the theorem posits that the sum of ...
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 ...
Two high school students proved the Pythagorean theorem in a way that one early 20th-century mathematician thought would be impossible: by using trigonometry. Calcea Johnson and Ne’Kiya Jackson, both ...
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 ...
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