Question 1132208
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Think of the regular hexagon as being composed of 6 equilateral triangles.<br>
The distance between opposite edges (not faces) is twice the height of one of the equilateral triangles.  Dividing each equilateral triangle into two 30-60-90 right triangles shows the height of each triangle to be (sqrt(3)/2) times the edge length.<br>
And that makes the distance between opposite edges (sqrt(3)) times the edge length.