posted by Kenzi on .
How can you draw a line that is 5 inches long using only one sheet of 8 1/2 inch x 11 inch paper?
By using a pencil?
This is an actual question that I have for math homework tonight. A SERIOUS response would be greatly appreciated if someone could help me out. Thanks
mark the corners of the sheet as A,B,C,D where AB is the longer side of 11 inches
Fold the paper in half to mark the midpoint of AB, call it M
open it up again, now fold it to have C land on M, crease the paper to form a triangle AMN, where N is along AD
Le AN = x, then MN = 8.5 - x, of course AM = 5.5
then x^2 + 5.5^2 = (8.5-x)^2
solving this I got x = 2.47 or appr 2.5
so MN = 8.5-2.5 = 6
and of course DN = 6
now open the sheet up again and fold it at D so that AD falls along DC
on DC mark the place where N falls along DC, call it P
Then of course PC = 11-6 = 5