Subjects geometry

Pythagorean Theorem 693176

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1. The problem is to provide a graphic representation of a theorem. 2. Since the user did not specify which theorem, I will illustrate the Pythagorean theorem, a fundamental result in geometry. 3. The Pythagorean theorem states that in a right triangle, the square of the hypotenuse ($c$) is equal to the sum of the squares of the other two sides ($a$ and $b$): $$c^2 = a^2 + b^2$$ 4. This theorem applies only to right-angled triangles. 5. The diagram below shows a right triangle with sides $a$, $b$, and hypotenuse $c$, and squares constructed on each side to visually represent the areas corresponding to $a^2$, $b^2$, and $c^2$. 6. This visual proof helps understand why the sum of the areas of the two smaller squares equals the area of the largest square.
a b c