Starting from any given rational-sided, right triangle, for example, the (3, 4, 5)-triangle with area 6, we use Euclidean geometry to show that there are infinitely many other rational-sided, right ...

The Pythagorean theorem gives a fundamental relationship between the lengths of the three sides of a right-angled triangle. We make the case for which theorems of elementary Euclidean geometry should ...

In the vast world of geometry and art, there are figures that challenge our perception and understanding of space. One of these figures is the Penrose Triangle, also known as the Tribar. This object, ...

The Pythagorean theorem, named for the Ancient Greek philosopher Pythagorus, is a fundamental result in Euclidean geometry that relates the lengths of the sides of a right triangle.