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Side Length Settlement (Posted on 2014-05-18) Difficulty: 3 of 5
Consider a rectangular piece of paper ABCD, with AB = √2 and AD = 1. The rectangle is folded so that:
  • B coincides with the point X on CD and:
  • The resulting crease is AY which passes through the corner A.
Determine the length of the three sides of the triangle DXY.

No Solution Yet Submitted by K Sengupta    
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Solution numerically from Geometers' Sketchpad | Comment 1 of 3
DX = 1
DY = 1.47363
XY = 0.58579

The exact length of DX is an assumption made upon observing where X should be located to cause the perpendicular bisector of BX (on rectangle prior to folding) to pass through A.

  Posted by Charlie on 2014-05-18 23:54:26
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