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Pythagorean Theorem

Medium Exhibit Stands · Mathematics

Operation: Rotate the disc and observe how the liquid fills the three squares, visually demonstrating the relationship among the three sides of a triangle. Function Overview: The exhibit consists of three sets of devices for right, obtuse, and acute triangles. Each device has a rotatable disc, in the center of which are squares formed by the three sides of the triangle. Rotate the disc and observe how the liquid fills the three squares, visually demonstrating the relationship among the three sides of a triangle. Scientific Principle: Why is it that only in a right triangle do the liquids in the two smaller squares exactly fill the larger square? In the three squares constructed with the three sides of a right triangle as side lengths, according to the Pythagorean theorem, the sum of the areas of the squares formed by the two legs exactly equals the area of the square formed by the hypotenuse. Therefore, when the disc is rotated, one can see that the liquids in the two smaller squares exactly fill the larger square. Using this method, you can analyze the relationship among the three sides of acute and obtuse triangles. The Pythagorean theorem is widely used in engineering, such as in building houses, digging wells, and manufacturing vehicles.

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