New way to prove Pythagoras theorem, discovered by two students in US

'Pythagorean theorem' notably 2000-year-old...

Two students in American high school have discovered a new way to prove Pythagoras theorem by using trigonometry, have stunned mathematicians, a feat mathematicians claim to be impossible, Guardian reported. On March 18 Calcea Johnson and Ne'Kiya Jackson, who are seniors at St. Mary's Academy in New Orleans, presented their findings, at the American Mathematical Society's (AMS) Spring Southeastern Sectional Meeting. 

Generally high school students are not presenters at the American Mathematical Society Meeting, their groundbreaking lecture from the research is historic. 

Pythagorean theorem notably 2000-year-old states that, the sum of the squares of a right triangle two shorter sides is the same as the square of the hypotenuse, the third side opposite the right angle. All around the world students learned the theory as a2+b2=c2. Also mathematicians have struggled to find a definitive proof for the theorem which would not only show that it works but explain why it does.

The students further said they can prove the theorem by using trigonometry and without circular reasoning.

But "that isn't quite true," the teenagers wrote in the abstract. "We present a new proof of Pythagoras's Theorem which is based on a fundamental result in trigonometry — the Law of Sines — and we show that the proof is independent of the Pythagorean trig identity sin2x+cos2x=1."

However, yet the findings have been accepted into peer-reviewed journal. It's still too early to say whether their proof will ultimately hold up or not according to Live Science.