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# Pythagorean Theorem Proofs

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There are more than 50 ways to prove the Pythagorean theorem. Using the Library, web resources, and other course materials, choose a proof of the theorem that you understand and describe it to the class. Then create a real-world application problem that can be solved by using the Pythagorean theorem. Make sure to include the question, calculations, and the solution.

##### Solution Summary

One of the many ways of proving the Pythagorean Theorem is presented. Also included is a real-world application problem.

##### Solution Preview

(a) Proof of Pythagoras Theorem by the Area Method:
Statement: In a right triangle, the square on the longest side (hypotenuse) is equal to the sum of the squares on the other two sides.
Given: A right triangle ABC, with hypotenuse length c and the other two legs measuring a ...

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