Wednesday, March 29, 2017

geometry - Create a 3 inch measurement


How will you create a 3 inch (within say plus or minus 0.05 inch) side on a standard piece of paper ( 8.5 x 11 inches) merely by Folding? No marking of any kind allowed. Only one paper available. Please explain why. Please try to do with minimum number of foldings. Of course no other measurement tool available



Answer



I can do it in



2




folds, by



folding one corner down to the opposite side, then folding the top of the paper down to the bottom:
enter image description here
The diagonal line splits the right side into one line of 8.5" and another of 2.5", and the middle line splits the right side into two lines of 5.5". Thus the red line is 5.5" - 2.5" = 3" long.



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