Question

Теорема+Пифагора — одна из основополагающих теорем евклидовой геометрии.C устанавливающая соотношение между сторонами прямоугольного треугольника. запишите цифры под которыми они указаны1) Она сложна для самостоятельного изученья.2) Её открытие произошло на основе наблюдений.3) Она изложена специальным языком математики.4) Для подтверждения её истиности предложено доказательство опирающееся на опытно установленные данные.5) ДЛя ее описания использован метод теоретического объяснения6) её истиность была усановлена обобщения народной мудрости

Answer 1

245.............................

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Answer 2

The Pythagorean Theorem

The Pythagorean Theorem is one of the fundamental theorems in Euclidean geometry. It establishes a relationship between the sides of a right triangle. The theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

The Pythagorean Theorem can be written as:

a^2 + b^2 = c^2

where 'a' and 'b' are the lengths of the two legs of the right triangle, and 'c' is the length of the hypotenuse.

Origins and Development

1) The Pythagorean Theorem is not particularly difficult to understand or study independently. It is a concept that can be grasped with basic knowledge of right triangles and algebraic manipulation.

2) The discovery of the Pythagorean Theorem is attributed to the ancient Greek mathematician Pythagoras, who lived around the 6th century BCE. However, it is important to note that the theorem was known and used by other ancient civilizations, such as the Babylonians and the Egyptians, even before Pythagoras.

3) The Pythagorean Theorem is expressed using the language of mathematics, which allows for precise and concise communication of mathematical concepts. It is typically taught and explained using mathematical notation and symbols.

4) The truth of the Pythagorean Theorem has been established through rigorous mathematical proofs. These proofs rely on logical reasoning and deductive arguments, rather than empirical evidence. The theorem has been proven using various methods throughout history, including geometric proofs, algebraic proofs, and even more advanced mathematical techniques.

5) The Pythagorean Theorem is described and explained using theoretical concepts and principles. It is a mathematical result that can be derived from more fundamental axioms and definitions in geometry and algebra.

6) The validity of the Pythagorean Theorem has been established through centuries of mathematical development and generalization. It is not solely based on folk wisdom or popular beliefs, but rather on rigorous mathematical reasoning and proof.

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