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Pythagorean theorem relates to the sides of a right triangle from "summary" of The Math Book by DK
The Pythagorean theorem is a fundamental principle in geometry that establishes a relationship between the lengths of the sides of a right triangle. This theorem, attributed to the ancient Greek mathematician Pythagoras, states that the square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the lengths of the other two sides. In a right triangle, the side opposite the right angle is called the hypotenuse, while the other two sides are known as the legs. The Pythagorean theorem provides a simple and elegant way to calculate the length of any of the sides of a right triangle when the lengths of the other two sides are known. The theorem can be expressed algebraically as a^2 + b^2 = c^2, where a and b represent the lengths of the legs of the right triangle, and c represents the length of the hypotenuse. This formula can be used in reverse as well, allowing us to determine whether a triangle is a right triangle based on the lengths of its sides. The Pythagorean theorem has countless practical applications in various fields, such as architecture, engineering, physics, and astronomy. For example, it is used in construction to ensure that structures are stable and secure, and in navigation to calculate distances between points on a map. Understanding the Pythagorean theorem is essential for anyone studying geometry or working in a field that requires mathematical problem-solving skills. By grasping this concept, individuals can solve a wide range of problems involving right triangles and apply this knowledge to real-world situations. The theorem's simplicity and versatility make it a valuable tool in the mathematical toolkit of students and professionals alike.
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