Difference between revisions of "2018 AMC 10B Problems/Problem 24"
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| + | Answer: 15sqrt(3)/32 | ||
| − | + | ==Solution== | |
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| + | ==See Also== | ||
| + | {{AMC10 box|year=2018|ab=B|num-b=23|num-a=25}} | ||
| + | {{AMC12 box|year=2018|ab=B|num-b=19|num-a=21}} | ||
| + | {{MAA Notice}} | ||
Revision as of 15:23, 16 February 2018
Problem
Let ABCDEFG be a regular hexagon with side length 1. Denote X, Y, and Z the midpoints of sides (segment) AB, (segment) CD, and (segment) EF, respectively. What is the area of the convex hexagon whose interior is the intersection of the interiors of (insert) triangle symbol) ACE and (insert triangle symbol) XYZ?
Answer: 15sqrt(3)/32
Solution
See Also
| 2018 AMC 10B (Problems • Answer Key • Resources) | ||
| Preceded by Problem 23 |
Followed by Problem 25 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
| All AMC 10 Problems and Solutions | ||
| 2018 AMC 12B (Problems • Answer Key • Resources) | |
| Preceded by Problem 19 |
Followed by Problem 21 |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | |
| All AMC 12 Problems and Solutions | |
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
