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

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! …

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.

Dec 17, 2016 · Also known as Pythagoras' theorem, the Pythagorean theorem is a theorem in geometry that gives a relationship between the sides of a right-angled triangle. The …

Jul 23, 2025 · Pythagoras Theorem explains the relationship between the three sides of a right-angled triangle and helps us find the length of a missing side if the other two sides are known. …

In this topic, we’ll figure out how to use the Pythagorean theorem and prove why it works.

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 …

The Pythagorean theorem states that if a triangle has one right angle, then the square of the longest side, called the hypotenuse, is equal to the sum of the squares of the lengths of the …