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 Getting Sheepish (Posted on 2003-11-12)
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)

 Subject Author Date re: Solution Charlie 2003-11-15 22:09:39 Solution Benjamin J. Ladd 2003-11-15 07:03:18 re: solution Jason 2003-11-13 21:31:36 solution Minion123 2003-11-13 00:12:47 Mathematical / Graphical Solution nikki 2003-11-12 17:33:15 In generality--not assuming one case Charlie 2003-11-12 15:12:18 re: not quite complete SilverKnight 2003-11-12 15:06:22 not quite complete Cory Taylor 2003-11-12 14:58:36 Solution - shoulda labeled it as such SilverKnight 2003-11-12 14:43:37 No Subject SilverKnight 2003-11-12 14:43:13

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