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Pythagorean Theorem

The Pythagorean Theorem is a fundamental theorem in mathematics that relates the lengths of the sides of a right triangle. It states that in a right triangle, the sum of the squares of the lengths of the two legs (the sides that form the right angle) is equal to the square of the length of the hypotenuse (the side opposite the right angle).

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It states that in a right triangle, the sum of the squares of the lengths of the two legs (the sides that form the right angle) is equal to the square of the length of the hypotenuse (the side opposite the right angle). This theorem has been known and used for thousands of years, with evidence of its use dating back to ancient civilizations such as the Babylonians and Egyptians. The theorem is named after the ancient Greek mathematician Pythagoras, although there is evidence to suggest that the theorem was already known in ancient Mesopotamia. Pythagoras is often credited with proving the theorem and providing a geometric proof for it. The Pythagorean Theorem is also connected to the Pythagorean triples, which are sets of three positive integers that satisfy the theorem. The Pythagorean Theorem has numerous applications in various fields of science, engineering, and everyday life. It is used in geometry to calculate unknown distances and angles in right triangles, and it forms the basis for trigonometry. It is also used in applications such as navigation, architecture, physics, and computer graphics. The Pythagorean Theorem is a fundamental concept in mathematics and its proof and applications are taught in schools worldwide. It is considered one of the most important and well-known theorems in mathematics and has had a profound impact on the development of mathematical thought.

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