Difference between revisions of "2017 AIME II Problems/Problem 15"

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Revision as of 13:03, 23 March 2017


Tetrahedron $ABCD$ has $AD=BC=28$, $AC=BD=44$, and $AB=CD=52$. For any point $X$ in space, define $f(X)=AX+BX+CX+DX$. The least possible value of $f(X)$ can be expressed as $m\sqrt{n}$, where $m$ and $n$ are positive integers, and $n$ is not divisible by the square of any prime. Find $m+n$.


See Also

2017 AIME II (ProblemsAnswer KeyResources)
Preceded by
Problem 14
Followed by
Last Question
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All AIME Problems and Solutions

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