Mathematically, this theory usually is usually written as: a2 + b2 = c2, where a and b represent the length of the two other sides of a right triangle and c represents the length of the hypotenuse.
History
History of the theory of Pythagoras can be divided as follows:1. knowledge of the Triple Pythagoras,
2. The relationship between the sides of a right triangle and the adjacent corners, 3. proof of the theory.
Around 4000 years ago, the Babylonians and the Chinese people have realized the fact that a triangle with sides 3, 4, and 5 should be a right triangle. They use this concept to build a right angle and designing the right triangle by dividing the length of the rope into 12 equal parts, as the first side of the triangle is 3, the second side is 4, and the third side is five units of length.
About 2500 years BC, Megalithic monuments in Egypt and Northern Europe are organized right-angled triangle with sides were unanimous. Bartel Leendert van der Waerden-clicking the hypothesis that the Pythagorean triples algebraically identified. During the reign of Hammurabi the Great (1790 - 1750 BC), the Mesopotamian tablet Plimpton 32 consisted of many submissions related to Pythagorean triples. In India (8th century until the 2nd BC), there Baudhayana Sulba Sutra consisting of a list of Pythagorean triples is a statement of the proposition and geometric proof of the theorem for an isosceles right triangle legs.
Pythagoras (569-475 BC) used algebraic methods to construct Pythagorean triples. According to Sir Thomas L. Heath, there was no determination of the cause of this theorem for almost five centuries after Pythagoras theorem to write this. However, authors such as Plutarch and Cicero attributes to Pythagoras's theorem to the attribution was widely known and accepted. In 400 BC, Plato established a method for finding Pythagorean triples that combined well with algebra and geometry. Around 300 BC, Euclid elements (axiomatic that the oldest evidence) presented the theorem. Chinese text Chou Pei Suan Ching, written between 500 BC to 200 AD have visual proof of the Pythagorean theorem or the so-called "Gougu Theorem" (as it is known in China) for a triangle measuring 3, 4, and 5. During the Han Dynasty (202 BC - 220 AD), Pythagorean triples appear on the Nine Chapters on Mathematics Arts along with the designation of a right triangle. The first recording using the theory was in China as 'theories Gougu', and in India called "Bhaskara theories".
However, this has not been confirmed whether Pythagoras was the first to discover the relationship between the sides of a right triangle, because there is no text written by him was found. Nevertheless, the name Pythagoras was believed to be an appropriate name for this theory.
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