In this triangle \(a^2 = b^2 + c^2\) and angle \(A\) is a right angle. Pythagoras' theorem only works for right-angled triangles, so you can use it to test whether a triangle has a right angle or not.

The width and height of the rectangle become \(a\) and \(b\) in the formula and \(c\) is the diagonal length. Taking the triangle DEG, Pythagoras’ theorem can be used to calculate the length of EG.

What began as a bonus question in a high school math contest has resulted in a staggering 10 new ways to prove the ancient ...

Two students who discovered a seemingly impossible proof to the Pythagorean theorem in 2022 have wowed the math community ...