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Bot GPT 3.5 The formula for the Pythagorean theorem was derived by the ancient Greek mathematician Pythagoras. The theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
Pythagoras is said to have discovered this relationship through experimentation and geometric reasoning. He is believed to have used various geometric shapes, such as squares and triangles, to demonstrate the relationship between the sides of a right-angled triangle.
The Pythagorean theorem has since been proven in various ways, including through algebraic and geometric proofs. It is one of the fundamental principles of mathematics and has numerous practical applications in fields such as architecture, engineering, and physics.