Pythagorean Theorem
x^2 + y^2 = z^2
The Pythagorean Theorem is a fundamental theorem in mathematics that relates to the three sides of a right-angled triangle. It states that the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b). The theorem is expressed mathematically as:
c² = a² + b²
or
c = √(a² + b²)
This theorem is named after the Greek mathematician Pythagoras, who is credited with its discovery. Pythagoras lived in ancient Greece around 500 BCE, and his contributions to the field of mathematics are still studied and applied today.
The Pythagorean Theorem has many practical applications in fields such as architecture, engineering, and physics. For example, it can be used to find the distance between two points in two or three-dimensional space, or to calculate the length of the diagonal of a rectangular prism.
In summary, the Pythagorean Theorem is a fundamental concept in mathematics that relates to the three sides of a right-angled triangle. It is expressed mathematically as c² = a² + b², and has numerous practical applications in various fields.
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