2013 AIME I Problems/Problem 7
Problem 7
A rectangular box has width
inches, length
inches, and height
inches, where
and
are relatively prime positive integers. Three faces of the box meet at a corner of the box. The center points of those three faces are the vertices of a triangle with an area of
square inches. Find
.
Solution
See also
| 2013 AIME I (Problems • Answer Key • Resources) | ||
| Preceded by Problem 6 |
Followed by Problem 8 | |
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| All AIME Problems and Solutions | ||