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Mine Detection (Posted on 2006-07-29) Difficulty: 3 of 5
A soldier has to check for mines a region that has the form of an equilateral triangle. Let h be the length of an altitude of the triangle and h/2 the radius of activity of his mine detector. If the soldier starts at one of the vertices of the triangle, find the length (in terms of h) of the shortest path he could use to carry out his task.

See The Solution Submitted by Bractals    
Rating: 3.0000 (3 votes)

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Puzzle Thoughts Comment 8 of 8 |
The length (in terms of h) of the shortest path he could use to carry out his task is approximately1.027525*h. 


Edited on December 23, 2023, 12:36 am
  Posted by K Sengupta on 2023-08-01 21:24:28

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