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2015 AMC 12A Question 16

AMC12 · 2015 AMC 12A

Question 16

Tetrahedron $ABCD$ has $AB = 5,$ $AC = 3,$ $BC = 4,$ $BD = 4,$ $AD = 3,$ and $CD = \dfrac{12}{5}\sqrt{2}.$ What is the volume of the tetrahedron?
  1. $3\sqrt{2}$
  2. $2\sqrt{5}$
  3. $\dfrac{24}{5}$
  4. $3\sqrt{3}$
  5. $\dfrac{24}{5}\sqrt{2}$