2021 AIME I Problems/Problem 6
Problem
Segments and are edges of a cube and is a diagonal through the center of the cube. Point satisfies and . What is ?
Solution
First scale down the whole cube by 12. Let point M have coordinates , A have coordinates , and be the side length. Then we have the equations
See also
2021 AIME I (Problems • Answer Key • Resources) | ||
Preceded by Problem 5 |
Followed by Problem 7 | |
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