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# ps - polygon

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VP
Joined: 30 Sep 2004
Posts: 1488
Location: Germany
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ps - polygon [#permalink]  13 Dec 2005, 12:26
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(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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Senior Manager
Joined: 05 Oct 2005
Posts: 485
Followers: 1

Kudos [?]: 2 [0], given: 0

E. Can be I, II or III.

0<AE<23

Is this correct?
Senior Manager
Joined: 03 Nov 2005
Posts: 397
Location: Chicago, IL
Followers: 3

Kudos [?]: 29 [0], given: 17

I think it's E. There' no restriction for the side AE.
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VP
Joined: 22 Aug 2005
Posts: 1120
Location: CA
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Kudos [?]: 48 [0], given: 0

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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Senior Manager
Joined: 03 Nov 2005
Posts: 397
Location: Chicago, IL
Followers: 3

Kudos [?]: 29 [0], given: 17

Thanks, guys. I had no idea the same rule applies to polygons, too. Kaplan totally omits this point.
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Hard work is the main determinant of success

Senior Manager
Joined: 05 Oct 2005
Posts: 485
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Kudos [?]: 2 [0], given: 0

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