Difference between revisions of "1973 IMO Problems/Problem 4"
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| + | ==Problem== | ||
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A soldier needs to check on the presence of mines in a region having the | A soldier needs to check on the presence of mines in a region having the | ||
shape of an equilateral triangle. The radius of action of his detector is equal | shape of an equilateral triangle. The radius of action of his detector is equal | ||
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triangle. What path shouid he follow in order to travel the least possible | triangle. What path shouid he follow in order to travel the least possible | ||
distance and still accomplish his mission? | distance and still accomplish his mission? | ||
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| + | ==Solution== | ||
| + | The discussion thread for this problem is here: [https://aops.com/community/p1141601] | ||
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| + | {{solution}} | ||
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| + | == See Also == {{IMO box|year=1973|num-b=3|num-a=5}} | ||
Revision as of 14:50, 29 January 2021
Problem
A soldier needs to check on the presence of mines in a region having the shape of an equilateral triangle. The radius of action of his detector is equal to half the altitude of the triangle. The soldier leaves from one vertex of the triangle. What path shouid he follow in order to travel the least possible distance and still accomplish his mission?
Solution
The discussion thread for this problem is here: [1]
This problem needs a solution. If you have a solution for it, please help us out by adding it.
See Also
| 1973 IMO (Problems) • Resources | ||
| Preceded by Problem 3 |
1 • 2 • 3 • 4 • 5 • 6 | Followed by Problem 5 |
| All IMO Problems and Solutions | ||
