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

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 …

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 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 …

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

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

Back when you first studied square roots and how to solve radical equations, you were probably introduced to something called "the Pythagorean Theorem". This Theorem relates the lengths …

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 …

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 …