Uploaded August 2025 | Updated September 2026, 3 weeks ago

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We a point inside of the 3-4-5 triangle and the distances from the point to each side are x, y, and z, respectively. The goal is to find the minimum value of x^2+y^2+z^2 but how can we do this without calculus? The key is the Cauchy–Schwarz Inequality!

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