
Как просто объяснить теорему пифагора


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Explaining the Pythagorean Theorem
The Pythagorean Theorem is a fundamental principle in geometry that relates to the lengths of the sides of a right-angled triangle. It 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.
Mathematical Representation: The theorem can be expressed mathematically as: \[a^2 + b^2 = c^2\] Where: - \(a\) and \(b\) are the lengths of the two shorter sides (legs) of the right-angled triangle. - \(c\) is the length of the hypotenuse.
Application: The Pythagorean Theorem is widely used in various fields, including architecture, engineering, and physics, for calculating distances, determining perpendicularity, and solving various practical problems involving right-angled triangles.
Visual Representation: In a visual representation, the theorem can be illustrated as follows: - Given a right-angled triangle with sides of length \(a\), \(b\), and \(c\), where \(c\) is the hypotenuse. - The theorem states that the sum of the squares of the lengths of the two shorter sides (\(a^2 + b^2\)) is equal to the square of the length of the hypotenuse (\(c^2\)).
The Pythagorean Theorem provides a fundamental relationship in geometry and has numerous applications in practical scenarios involving right-angled triangles.


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