perplexus.info :: Shapes : Fold Judgement II

Fold Judgement II (Posted on 2014-04-01)

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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Comments: ( Back to comment list | You must be logged in to post comments.)

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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