The Pythagorean theorem
Do you know why it's true?
In this post I will provide an intuitive proof of a very foundational little result in elementary geometry: the Pythagorean theorem.
Statement Given a right triangle as the one in Figure 1.i with legs a and b and hypothenuse c, the Pythagorean theorem states that the area of the square whose side is c is the sum of the areas of the two squares having sides a and b. See Figure 1.
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