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Answer is E.Altitude h = 1 + x, where x is altitude of regular tetrahedron which vertexs are centers of balls. x= sqrt(2/3).
Assuming that the tetrahedron shifted to the base, yes 1+sqrt(2/3) is the answer. Or, without that shift: h = 1/2 + x + 1/2 which of course is the same. Two simple Pythagoras' will reveal the value of x.
Answer is E.
ReplyDeleteAltitude h = 1 + x, where x is altitude of regular tetrahedron which vertexs are centers of balls. x= sqrt(2/3).
Assuming that the tetrahedron shifted to the base, yes 1+sqrt(2/3) is the answer. Or, without that shift: h = 1/2 + x + 1/2 which of course is the same. Two simple Pythagoras' will reveal the value of x.
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