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2021 AMC 10AProblem 13P11-15~3 minPrint
Solid GeometryTriangles: Area & PythagoreanSet up the equation/formula and compute; no special trick needed

What is the volume of tetrahedron ABCDABCD with edge lengths AB=2AB = 2 , AC=3AC = 3 , AD=4AD = 4 , BC=13BC = \sqrt{13} , BD=25BD = 2\sqrt{5} , and CD=5CD = 5  ?

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Problem © Mathematical Association of America (MAA), American Mathematics Competitions. Reproduced for non-commercial educational use. Solution and commentary are original to this site.