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GAIC Math 2024 Problem 106

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Given that △ABC\triangle ABC is an acute-angled triangle, with AA, BB, and CC as its internal angles, the minimum value of 2cot⁡A+3cot⁡B+4cot⁡C2 \cot A+3 \cot B+4 \cot C is _____.

Dataset text MathOdyssey. Open licence.

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23\sqrt{23}

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