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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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Solution re: different value | Comment 5 of 6 |
(In reply to different value by xdog)

From xdog's correct "The fold forms right triangle BXD with legs BX and 2 and hypotenuse (4-BX).":

(BX)^2 + 2^2  = (4 - BX)^2 = 16 - 8BX + (BX)^2

4 = 16 - 8BX

8BX = 12

BX = 12/8 = 3/2 -- not 4/3

Good insight though on forming this right triangle.


  Posted by Charlie on 2014-04-01 22:44:54
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