Difference between revisions of "2018 AIME I Problems/Problem 8"
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| + | ==Problem== | ||
| + | Let <math>ABCDEF</math> be an equiangular hexagon such that <math>AB=6, BC=8, CD=10</math>, and <math>DE=12</math>. Denote by <math>d</math> the diameter of the largest circle that fits inside the hexagon. Find <math>d^2</math>. | ||
| + | |||
==Video Solution by Punxsutawney Phil== | ==Video Solution by Punxsutawney Phil== | ||
https://www.youtube.com/watch?v=oc-cDRIEzoo | https://www.youtube.com/watch?v=oc-cDRIEzoo | ||
Revision as of 20:58, 30 October 2025
Problem
Let 
be an equiangular hexagon such that 
, and 
. Denote by 
the diameter of the largest circle that fits inside the hexagon. Find 
.
Video Solution by Punxsutawney Phil
https://www.youtube.com/watch?v=oc-cDRIEzoo
Video Solution by Walt S
https://www.youtube.com/watch?v=wGP9bjkdh1M
See Also
| 2018 AIME I (Problems • Answer Key • Resources) | ||
| Preceded by Problem 7 |
Followed by Problem 9 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
| All AIME Problems and Solutions | ||
These problems are copyrighted © by the Mathematical Association of America, as part of the American Mathematics Competitions. 
