Pythagorean Theorem

"Pythagorean Theorem" named by the ancient Greek mathematician Pythagoras, who is considered as the person who first gave proof of this theorem. However, many people who believe that there is a special relationship between the sides of a right triangle long before Pythagoras found it. Pythagorean Theorem plays a very significant role in various fields related to mathematics. For example, to form the basis of trigonometry and arithmetic form, which form combines geometry and algebra.This theorem is a relation in Euclidean geometry among the three sides of a right triangle. It is stated that 'the number of square formed from long double-sided elbow will be equal to the number of square formed from long hipotenusanya'.Systematically, this theorem is usually written as: a ^ 2 + b ^ 2 = c ^ 2, where a and b represent the length of the two other sides of a right triangle and c represents the length of hipotenusnya (the hypotenuse).
Approximately 4000 years ago, a clay tablet Babylonian origin was found with the following text: "4 and 5 is the long diagonal. In addition, the Chinese also knew this theorem. This is due Tschou-Gun who lived in 1100 BC. He knows the characteristics of a right angle. This theorem is also known as Caldeans or "theorem Gougu '. It has long ago proved that they are aware of the fact that a triangle with a length of 3, 4, and 5 should be a right triangle siku.mereka use this concept to construct a right angle and right-angled triangle design by dividing the length of rope into 12 equal parts, as the first side of a triangle is 3, the second side is 4, and the third side is 5 units long.
In addition, the Egyptians knew that a triangle with sides 3, 4, and 5 makes 90 ° angle. As a matter of fact, they have a rope with 12 evenly spaced knots like this: That they are used to build the perfect angle in buildings and pyramids. It is believed that they only know about 3, 4, 5 triangle and not a general theorem that applies to all right-angled triangles. Although the theorem is known far in prehistory, but Pythagoras was the one who made it popular. That is why known as the Pythagorean Theorem.Pythagorean Theorem is associated with the first geometrical demonstration. There are hundreds of purely geometric demonstrations as well as limited evidence of algebra.Pythagorean theorem is one of the most important theorems in the world geometry.
Around 2500 years BC, Megalithic monuments in Egypt and northern Europe there is the composition of a right triangle with sides of a round. Bartel Leendert van der Waerden hypothesized that Triple Pythagoras identified algebraically. During the reign of Hammurabi the Great (1790-1750 BC), the Mesopotamian tablet Plimpton 32 consists of many posts related to the Pythagorean Triple. Pythagoras (569-475 BC) using algebraic methods to build a Pythagorean Triple. According to Sir Thomas L. Heath, no research because of this theorem. However, writers such as Plutarch and Cicero teoroma attribute to Pythagoras until the attribution was widely known and accepted. In 400 BC, Plato established a method to achieve a good Pythagorean Triple combined with algebra and geometry. Around 300 BC, Euclid eleman (axiomatic proof of the oldest) presents the theorem.Chinese text Chou Pei Suan Ching, written between 500 BC to 200 AD after having visual proof of Pythagoras or Teoroma called "Gougo Theorem" (as known in China) for the triangular measuring 3, 4, and 5. During the Han Dynasty (202-220 BC), Pythagorean triples appear in nine chapters on mathematical art along with the title of a right triangle. However, this has not been confirmed whether Pythagoras was the first to discover the relationship between sides of right triangles, because there is no text written by him was found. However, the name of Pythagoras was believed to be an appropriate name for this theorem.
Sources:http://library-math.unm.ac.id/blog/?p=220