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Fold Judgement II (Posted on 2014-04-01) Difficulty: 3 of 5
A sheet of paper is in the form of a triangle ABC in which AB=3, BC=4 and CA = 5. D is a point in AB such that AD = 1

The paper is folded so that C coincides with D and the resultant crease meets BC at the point X.

Find the length of BX.

No Solution Yet Submitted by K Sengupta    
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different value | Comment 4 of 6 |
The fold forms right triangle BXD with legs BX and 2 and hypotenuse (4-BX).  A little Pythagoras gives BX=4/3.

I don't understand where perpendicular bisectors come in, but since the solution I propose seems a little light for a 3, maybe that's my problem.

  Posted by xdog on 2014-04-01 21:05:44
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