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Equilateral Triangle Areas

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Author: Annie Fetter & Steve Weimar (extra)
Description: teacher support active problem Geometry, difficulty level 3. If two equilateral triangles have edgelengths of 9 cubits and 12 cubits, what's the edgelength of the equilateral triangle whose area is equal to the sum of the areas of the other two?
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Problem page: http://mathforum.org/librarypow/puzzles/index2.ehtml?puzzle=3099
Support page: http://mathforum.org/pow/support/geopow/20040301geo.teacher.html
Solution page: Problem #3099

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