The Pythagorean Theorem is a fundamental principle in geometry that describes the relationship between the sides of a right-angled triangle. According to the theorem, 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. This can be expressed mathematically as
a² + b² = c²,
where a and b are the lengths of the two legs of the triangle, and c is the length of the hypotenuse.
This theorem is used in a wide variety of fields, including architecture, engineering, physics, and computer science, particularly in areas involving distance and measurement. It allows for the calculation of unknown distances in right-angled triangles when two sides are known. The Pythagorean Theorem also forms the basis for many other mathematical concepts and is a foundational idea in trigonometry and geometry. It is named after the ancient Greek mathematician Pythagoras, who is credited with its discovery, though the theorem was known to earlier civilizations as well. Shutdown123