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. For right triangles …

We also have a proof by adding up the areas. Historical Note: while we call it Pythagorean Theorem, it was also known by Indian, Greek, Chinese and Babylonian mathematicians well before he lived.

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 …

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.

Oct 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 …

The Pythagorean theorem describes a special relationship between the sides of a right triangle. Even the ancients knew of this relationship. In this topic, we’ll figure out how to use the Pythagorean …

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

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

The Pythagorean Theorem shows the relationship between the sides of a right triangle. It states that for a right triangle, the sum of the areas of the squares formed by the legs of the triangle equals the area …