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3D Geometry

Source: 2005 National High School Mathematics League, Exam One, Problem 10

March 19, 2020
geometry3D geometrytetrahedron

Problem Statement

In tetrahedron ABCDABCD, the volume of tetrahedron ABCDABCD is 16\frac{1}{6}, and ∠ACB=45∘,AD+BC+AC2=3\angle ACB=45^{\circ},AD+BC+\frac{AC}{\sqrt2}=3, then CD=CD=________.
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