The underlying question is why Euclid did not use this proof, but invented another. The role of this proof in history is the subject of much speculation. This theorem can be written as an equation relating the lengths of the sides a, b and c, often called the Pythagorean equation: a 2 + b 2 = c 2, It states that the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares on the other two sides. In mathematics, the Pythagorean theorem, or Pythagoras' theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle.
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