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RMS Resolution (Posted on 2014-06-17) Difficulty: 2 of 5
Two given line segments have the lengths a and b.
Using only a compass and an unmarked straightedge construct a line segment whose length is equal to the root-mean-square of a and b.

No Solution Yet Submitted by K Sengupta    
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Solution | Comment 1 of 2

Construct line segments of lengths:

  p = 2a

   q = sqrt(a^2 + a^2) = a*sqrt(2)

  r = sqrt(a^2 + b^2)

  q*r/p = sqrt((a^2 + b^2)/2)

  Posted by Bractals on 2014-06-17 13:49:15
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