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Getting Sheepish (Posted on 2003-11-12) Difficulty: 3 of 5
Within a farmer's pastures, there is a one-acre tract of land shaped like a right triangle. At the midpoint of the hypotenuse is a post, to which a dog is tethered with just enough rope to reach the endpoints of the hypotenuse. There are also posts at the midpoints of the legs of the triangle; to each of which is tethered a sheep with just enough rope to reach the endpoints of its respective leg of the triangle.

How much space do the sheep have to graze in (collectively) without having to worry about the dog reaching them?

No Solution Yet Submitted by DJ    
Rating: 4.1818 (11 votes)

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not quite complete | Comment 3 of 10 |
SK, while you have correctly shown the answer to a specific case (and I'll agree this answers the question), the assumption you've made about the orientation of the triangle (while true) is not justified. If you could not assume that the triangle was isosolese (sp!) then it is a much more involved problem...
  Posted by Cory Taylor on 2003-11-12 14:58:36
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