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Side length of tetrahedron

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in Vector algebra by (15 points)
Let ABCD is a tetrahedron with BC=1, angle BCA= 45º. If the volume of tetrahedron is 1/6 and AB+BC+AC/sqrt(2) = 3 , then value of CD^2 is:

A) 3/2              B) 5/2           C)3            D)4
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