Art of Problem Solving

1989 AIME Problems/Problem 12: Difference between revisions

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== See also ==
== See also ==
* [[1989 AIME Problems/Problem 13|Next Problem]]
{{AIME box|year=1989|num-b=11|num-a=13}}
* [[1989 AIME Problems/Problem 11|Previous Problem]]
* [[1989 AIME Problems]]

Revision as of 07:42, 15 October 2007

Problem

Let $ABCD^{}_{}$ be a tetrahedron with $AB=41^{}_{}$, $AC=7^{}_{}$, $AD=18^{}_{}$, $BC=36^{}_{}$, $BD=27^{}_{}$, and $CD=13^{}_{}$, as shown in the figure. Let $d^{}_{}$ be the distance between the midpoints of edges $AB^{}_{}$ and $CD^{}_{}$. Find $d^{2}_{}$.

Solution

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See also

1989 AIME (ProblemsAnswer KeyResources)
Preceded by
Problem 11
Followed by
Problem 13
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All AIME Problems and Solutions