AMC 10 Step by Step
2012 AMC 10AProblem 21P21-25~5 minPrint

Let points A=(0,0,0)A = (0 ,0 ,0) , B=(1,0,0)B = (1, 0, 0) , C=(0,2,0)C = (0, 2, 0) , and D=(0,0,3)D = (0, 0, 3) . Points EE , FF , GG , and HH are midpoints of line segments BD, AB, AC,\overline{BD},\text{ } \overline{AB}, \text{ } \overline {AC}, and DC\overline{DC} respectively. What is the area of EFGHEFGH ?

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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.