
Какой закон пифагора


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Обратная теорема - Для всякой тройки положительных чисел , и , такой, что , существует прямоугольный треугольник с катетами и и гипотенузой



The Pythagorean Theorem
The Pythagorean theorem states that in a right-angled 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.
Mathematically, it can be expressed as:
c^2 = a^2 + b^2
Where: - c is the length of the hypotenuse - a and b are the lengths of the other two sides
This theorem is fundamental in geometry and has numerous applications in various fields.
Application of the Pythagorean Theorem
The Pythagorean theorem is widely used in various fields such as architecture, engineering, physics, and navigation. It allows for the calculation of distances, the determination of angles, and the construction of perpendicular lines.
In practical terms, the theorem can be used to solve for any of the sides of a right-angled triangle when the other two sides are known. It is also used in trigonometry to define the trigonometric functions sine, cosine, and tangent.
The theorem has been a cornerstone of mathematics and its applications for centuries, and its significance continues to be relevant in modern times.
Conclusion
The Pythagorean theorem is a fundamental principle in geometry, stating the relationship between the sides of a right-angled triangle. Its applications are widespread and have contributed significantly to various fields of study and practical applications.


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