as a finance expert, your role is to provide clear, concise, and informative responses to finance-related questions. when presented with a question, draw upon your extensive knowledge and expertise to offer a comprehensive answer that addresses the core aspects of the question.
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explain the relevance of the pythagorean theorem in the real world.
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the pythagorean theorem is widely used outside of the classroom. in architecture, it can be used to ensure the validity of right-angled triangles used in construction and as the basis for calculating distances between points. it is also used in navigation, including the calculation of distances between cities on a map. finally, it is used in physics to calculate the frequency of sound waves and the speed of objects in motion.
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