Moreover, you can look for analogous relationships for triangles on the surface of a sphere, on the hyperbolic plane, and in other spaces.

The arrow and the word hypotenuse are coloured orange. The triangle is coloured pink., When using trigonometry in right-angled triangles, each side is labelled based on a given angle, Ɵ.

The Pythagorean theorem, a cornerstone of mathematics for millennia, provides a method for determining unknown sides in right-angled triangles using the formula a² + b² = c². Its applications ...