Difference between revisions of "2021 AIME I Problems/Problem 6"
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==Problem== | ==Problem== | ||
| − | + | Segments <math>\overline{AB}, \overline{AC},</math> and <math>\overline{AD}</math> are edges of a cube and <math>\overline{AG}</math> is a diagonal through the center of the cube. Point <math>P</math> satisfies <math>BP=60\sqrt{10}, CP=60\sqrt{5}, DP=120\sqrt{2},</math> and <math>GP=36\sqrt{7}</math>. Find <math>AP.</math> | |
==Solution== | ==Solution== | ||
Revision as of 15:47, 11 March 2021
Problem
Segments 
and 
are edges of a cube and 
is a diagonal through the center of the cube. Point 
satisfies 
and 
. Find 
Solution
See also
| 2021 AIME I (Problems • Answer Key • Resources) | ||
| Preceded by Problem 5 |
Followed by Problem 7 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
| All AIME Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
