Problem 7

Due in DSC 203 by 3 PM, Friday October 06, 2000

Given six numbers which satisfy the relations

(1)

         $$y^2+yz+z^2=a^2$$,

(2)

         $$z^2+zx+x^2=b^2$$,

(3)

         $$x^2+xy+y^2=c^2$$,

determine the sum x+y+z in terms of a,b,c. Give a geometric interpretation if the numbers are all positive.
Solutions, questions and/or comments should be directed to Judy Downey or Griff Elder

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Last modified:   Sat Sep 16 14:06:26 CDT 2000