Here's a neat visual proof of the Pythagorean theorem:
Theorem ([1]): The area of the square built upon the hypotenuse of a right triangle is equal to the sum of the areas of the squares upon the remaining sides. Stated algebraically, for a right triangle with sides of lengths , , and , where is the length of the hypotenuse,
For example, the area of the square labeled in the following figure is equal to the sum of the areas of the squares labeled and .
Here's a visual proof showing exactly how the theorem works:
See more examples of visual explanation.
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