Life
Meet Calcea Johnson and Ne’Kiya Jackson – they have done what mathematicians have never been able to do. They proved the Pythagorean Theorem with trigonometry.

The Pythagorean Theorem—discovered by the Greek mathematician Pythagoras in the 6th century BCE—is a cornerstone of mathematics. Simply stated as a2 + b2 = c2, the theorem posits that the sum of the two shortest sides of a right triangle (a2 and b2) is equal to that triangle’s longest side (c2). For centuries, this idea has been proven by some of history’s greatest minds, such as Albert Einstein, U.S. President James Garfield (of all people), and even Pythagoras himself.
In fact, there have been hundreds of proofs of the Pythagoras’ groundbreaking theorem, but almost none of them—if not none at all—have independently proved it using trigonometry.
Well, two New Orleans high schoolers say they’ve proven the impossible.
Calcea Johnson and Ne’Kiya Jackson, two high school seniors, presented a new proof to the American Mathematical Society’s Annual Southeastern Conference detailing how the Law of Sines can be used to prove Pythagoras’ 2,600-year-old mathematical wisdom. By using the Law of Sines, and avoiding the Pythagorean theorem’s trig identity (sin²α + cos²α = 1), Johnson and Jackson successfully proved the theorem without resorting to circular reasoning.
The American Mathematical Society said in a Facebook post that the two young mathematicians are being encouraged to submit their work to a peer-reviewed journal.