The Pythagorean theorem: The sum of the areas of the two squares on the legs (a and b) equals the area of the square on the hypotenuse (c).Trigonometry
In mathematics, the Pythagorean theorem (American English) or Pythagoras' theorem (British English) is a relation in Euclidean geometry among the three sides of a right triangle (right-angled triangle – British English). The theorem is usually written as an equation:
where c represents the length of the hypotenuse, and a and b represent the lengths of the other two sides. In words:
The square of the hypotenuse of a right triangle is equal to the sum of the squares on the other two sides.[1]
The Pythagorean theorem is named after the Greek mathematician Pythagoras, who by tradition is credited with its discovery and proof,[2] although it is often argued that knowledge of the theory predates him. (There is much evidence that Babylonian mathematicians understood the principle, if not the mathematical significance).