2005 AMC 12A Problems/Problem 25: Difference between revisions

Revision as of 08:16, 9 September 2007

Let $S$ be the set of all points with coordinates $(x,y,z)$ , where x, y, and z are each chosen from the set {0,1,2}. How many equilateral triangles all have their vertices in $S$ ?

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 == Problem ==
-Let <math>S</math> be the set of all points with coordinates <math>(x,y,z)</math>, where x, y, and z are each chosen from the set {0,1,2}. How many equilateral triangles all have their vertices in <math>S</math>?
+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 ==