AMC 10 Step by Step
2009 AMC 10BProblem 12P11-15~3 minPrint

Distinct points AA , BB , CC , and DD lie on a line, with AB=BC=CD=1AB=BC=CD=1 . Points EE and FF lie on a second line, parallel to the first, with EF=1EF=1 . A triangle with positive area has three of the six points as its vertices. How many possible values are there for the area of the triangle?

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Problem © Mathematical Association of America (MAA), American Mathematics Competitions. Reproduced for non-commercial educational use. Solution and commentary are original to this site.