A Winning Division
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Ivars Peterson (MathTrek)  
A farmer plans to divide a triangular piece of land evenly between his son and daughter. Because he wants to be scrupulously fair, he would like the two pieces to have not only equal areas but also equal perimeters. Where should he draw the line? This problem underlies a math project that earned fifth place in the 1999 Intel Science Talent Search. Titled "Triangular Equalizers, Pythagorean Quadrilaterals, Equalizers of NDimensional Convex Sets, and Perfect Equalizers," Rio G. Bennin's paper dealt with dividing twodimensional figures, such as triangles, into two pieces of equal area and perimeter, then extended those ideas and results to higherdimensional shapes...  


Levels:  Middle School (68), High School (912), College 
Languages:  English 
Resource Types:  Articles 
Math Topics:  HigherDimensional Geometry, Euclidean Plane Geometry 
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