Difference between revisions of "2013 AIME I Problems/Problem 7"
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==Problem 7== | ==Problem 7== | ||
| + | A rectangular box has width <math>12</math> inches, length <math>16</math> inches, and height <math>\frac{m}{n}</math> inches, where <math>m</math> and <math>n</math> 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 <math>30</math> square inches. Find <math>m+n</math>. | ||
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| + | ==Solution== | ||
| + | <math>\boxed{041}</math> | ||
Revision as of 15:08, 16 March 2013
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
