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Puzzle 163.  COW

Mr. Brown has a farm property that is triangular in shape.  Three posts mark the vertices of this property.  The distances of the posts from each other are 100 yards, 120 yards, and 90 yards.  Mr. Brown has his cow tied to a post located somewhere near the center of his property with a long rope.  The position of this post and the length of the rope were such that the cow would be able to roam the maximum area without going outside the boundaries of Mr. Brown's property.  What is the area that the cow would be able to roam around while tied to the rope?

 

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Bits and Beyond...

DESCARTES

Ranè Descartes (1596-1650) was a 17th century French philosopher and  mathematician.  He received his education in mathematics, classics, and law at La Flèche and Poitiers.  After a brief service in the military, he settled in Holland where he made significant contributions to the field of Algebra, Analytic Geometry, and Calculus.  The commonly used Cartesian Coordinate System was named after him.  His work, La géométrie, includes his contributions to algebra and geometry.

 

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