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ps - polygon

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VP
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ps - polygon [#permalink] New post 13 Dec 2005, 12:26
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 100% (01:25) wrong based on 2 sessions
The vertices of an irregular pentagon are A, B, C, D, and E. If AB=5, BC=4, CD=3, DE=10, the length of AE could be which of the followings?

I. 5
II. 7
III. 23

A. I only
B. II only
C. III only
D. I and II only
E. I and II and III only
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 [#permalink] New post 13 Dec 2005, 12:36
E. Can be I, II or III.

0<AE<23

Is this correct?
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 [#permalink] New post 13 Dec 2005, 13:33
I think it's E. There' no restriction for the side AE.
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 [#permalink] New post 13 Dec 2005, 13:38
rlevochkin wrote:
I think it's E. There' no restriction for the side AE.


If its closed polygon, one side cannot be bigger than "sum of all other four sides(22)".

Like in triangle, one side cannot be bigger than "sum of other two sides".
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 [#permalink] New post 13 Dec 2005, 14:31
Thanks, guys. I had no idea the same rule applies to polygons, too. Kaplan totally omits this point.
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 [#permalink] New post 13 Dec 2005, 15:24
Yes.. thanks.. I think my answer contradicted my reasoning earlier.
  [#permalink] 13 Dec 2005, 15:24
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