The research produced five complete, novel proofs of the Pythagorean theorem, with the potential for at least five more using ...

These proofs ... theorem. The fifth proof even captures both isosceles and non-isosceles triangles in one go. As if that was not enough, the pair also claim to have found five additional proofs ...

An understanding of how to use Pythagoras ... angle to the base of the triangle. The isosceles triangle can be split into two right-angled triangles. Pythagoras’ theorem can then be used ...

Two students who discovered a seemingly impossible proof ... of the triangle's longest side (the hypotenuse). Mathematicians ...

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. That’s ...

Two high school seniors have presented their proof of the ... and angles in a triangle are related, so mathematicians thought that using trigonometry to prove the theorem would always include ...

Each sidestepped “circular logic” to prove the pivotal theorem. So what exactly is a trigonometric proof of the Pythagorean ... are defined using right triangles. Imagine a right triangle ...

In a new peer-reviewed study, Ne'Kiya Jackson and Calcea Johnson outlined 10 ways to solve the Pythagorean theorem using trigonometry, including a proof they ... of a right triangle's two shorter ...