15. Hypotenuse: \( \left(a^{2}+b^{2}=c^{2}\right) \)
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Did you know that the Pythagorean theorem has been around for over 2,500 years? It’s named after the ancient Greek mathematician Pythagoras, but many historians believe that the knowledge of this relationship between the sides of right triangles predates him! The Babylonians and Indians had similar concepts long before Pythagoras, showcasing how essential this geometrical relationship has been across different cultures. In practical terms, the hypotenuse is crucial in fields like architecture, engineering, and even navigation. When building structures or designing anything that requires right angles, applying this theorem ensures that everything is level and proportionate. So, whether you’re constructing a treehouse or plotting a flight path, knowing how to calculate that hypotenuse will keep your designs sharp and your projects on point!