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GAIC Math 2024 Problem 103

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In tetrahedron ABCDABCD, where AC=15AC=15, BD=18BD=18, EE is the trisect point of ADAD closer to AA, FF is the trisect point of BCBC closer to CC, and EF=14EF=14. Then, the cosine value of the angle between edges ACAC and BDBD is_____.

Dataset text MathOdyssey. Open licence.

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12\frac{1}{2}

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