Difference between revisions of "2005 AMC 12A Problems/Problem 25"
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== Problem == | == Problem == | ||
| − | Let <math>S</math> be the set of all | + | Let <math>S</math> be the [[set]] of all [[point]]s with [[coordinate]]s <math>(x,y,z)</math>, where x, y, and z are each chosen from the set {0,1,2}. How many [[equilateral]] [[triangle]]s all have their [[vertices]] in <math>S</math>? |
== Solution == | == Solution == | ||
Revision as of 08:16, 9 September 2007
Problem
Let 
be the set of all points with coordinates 
, where x, y, and z are each chosen from the set {0,1,2}. How many equilateral triangles all have their vertices in ?
Solution
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