Proving Pythagoras

The video tutorial explains Pythagoras' Theorem, which relates the sides of a right-angled triangle. It describes how the square of the hypotenuse equals the sum of the squares of the other two sides. The theorem is visualized using squares on each side of the triangle. Although Pythagoras did not invent the theorem, he is credited with its proof. Various proofs, including algebraic ones, are discussed. The theorem's simplicity and utility in solving complex engineering and architectural problems are highlighted, making it a cornerstone of mathematics.

What does the Pythagorean theorem state about the sides of a right-angled triangle?

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How can the Pythagorean theorem be visualized using squares?

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Why is the Pythagorean theorem named after Pythagoras?

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What are some methods mathematicians have used to prove the Pythagorean theorem?

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In what fields is the Pythagorean theorem still used today?

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