In an extraordinary achievement that has stunned the global mathematics community, two high school students from Louisiana have developed a novel way to prove the Pythagorean theorem—and their ...

The students developed their proofs by examining how new right triangles could be created from an original right triangle.

What it means is that in a right triangle (where one angle equals 90°), the sum of the squares of two sides equals the square of the hypotenuse (the longest side).

Angle OGH (\(y\)) = angle OHG because triangle GOH is also isosceles. Lengths OH and OG are also both radii. Angle GOH = \(180^\circ - 2y\) (because angles in a triangle add up to 180°).