When Euclidean space is represented by a Cartesian coordinate system in analytic geometry, Euclidean distance satisfies the Pythagorean relation: the squared distance between two points equals the sum …

May 4, 2020 · This calculator solves the Pythagorean Theorem equation for sides a or b, or the hypotenuse c. The hypotenuse is the side of the triangle opposite the right angle.

Oct 22, 2025 · Pythagorean theorem, geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse. Although the theorem has long been …

When a triangle has a right angle (90°) ... ... and squares are made on each of the three sides, ... ... then the biggest square has the exact same area as the other two squares put together! (press Go). It is …

Definition of Pythagorean Theorem For a given right triangle, it states that the square of the hypotenuse, c c, is equal to the sum of the squares of the legs, a a and b b.

Dec 26, 2021 · Learn about the Pythagorean theorem in geometry. Get its definition, formula, and worked example math problems.

Nov 4, 2025 · Theorem 6 10 1: Pythagorean Theorem In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the legs. That is, (6.10.1) leg 2 + leg 2 = hypotenuse 2 Thus, for …

Dec 1, 2025 · The Pythagorean Theorem, also known as the Pythagoras Theorem, is one of the most fundamental theorems in mathematics and it defines the relationship between the three sides of a …

How to use the pythagorean theorem, explained with examples, practice problems, a video tutorial and pictures.

Pythagorean philosophers believed that there was a close relationship between numbers and geometrical forms. Early-Pythagorean philosophers proved simple geometrical theorems, including …