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Equilateral Crease II (Posted on 2014-03-05) Difficulty: 3 of 5
A piece of paper has the precise shape of an equilateral triangle ABC which is creased along a line XY, with X on AB and Y on AC. so that A falls on some point D on BC.

(i) Are the triangles XBD and DCY always similar?
If so, prove it. If not, give a counterexample.

(ii) If AB = 15 and BD = 3, what is the length of the crease XY?

No Solution Yet Submitted by K Sengupta    
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Comments: ( Back to comment list | You must be logged in to post comments.)
Some Thoughts GSP approximation | Comment 2 of 3 |
Geometers' Sketchpad indicates XY ~= 9.26012.
  Posted by Charlie on 2014-03-05 14:50:55
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