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homewood suites by hilton columbia columbia md - Moon Smoking

📅 May 16, 2026 👤 scraface

May 16, 2026

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📌 R = rac{s}{\sqrt{3}}

📌 Wait â correction: The correct formula for the circumradius of an equilateral triangle is:

📌 R = rac{s}{\sqrt{3}} \cdot rac{2}{1} \quad ext{(No â accurate formula is)}

📌 Actually, in an equilateral triangle, the circumradius is:

📌 R = rac{s}{\sqrt{3}} \cdot rac{2}{1} \quad ext{Incorrect.}

📌 Correct derivation: The height $ h $ of an equilateral triangle is $ rac{\sqrt{3}}{2}s $. The centroid (which coincides with the circumcenter) is at $ rac{2}{3} $ of the height from a vertex, so:

📌 R = rac{2}{3} \cdot rac{\sqrt{3}}{2}s = rac{s}{\sqrt{3}} \cdot rac{\sqrt{3}}{\sqrt{3}} = rac{s\sqrt{3}}{3}

📌 R = rac{s\sqrt{3}}{3}

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