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# There is a certain triangle with sides 7, 10, and X . It is

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VP
Joined: 30 Jun 2008
Posts: 1018
There is a certain triangle with sides 7, 10, and X . It is [#permalink]

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06 Oct 2008, 02:04
00:00

Difficulty:

(N/A)

Question Stats:

67% (00:27) correct 33% (00:00) wrong based on 25 sessions

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There is a certain triangle with sides 7, 10, and X . It is known that X is an integer. How many different values can $$X$$ take?

* 8
* 10
* 13
* 14
* 16

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Manager
Joined: 30 Sep 2008
Posts: 111

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06 Oct 2008, 02:16
X have to satisfy

10 + 7 > X and
7 + X > 10

=> 3 < X < 17

X is integer, so the answer is C (13)
VP
Joined: 30 Jun 2008
Posts: 1018

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06 Oct 2008, 02:21
lylya4 wrote:
X have to satisfy

10 + 7 > X and
7 + X > 10

=> 3 < X < 17

X is integer, so the answer is C (13)

NEAT ... Thanks ...
_________________

"You have to find it. No one else can find it for you." - Bjorn Borg

Manager
Joined: 15 Apr 2008
Posts: 159

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08 Oct 2008, 18:39

in a triangle, one of the sides should be greater than the difference of the other 2 sides and less than the sum of the other 2 sides
therefore X has to be between 3 and 17 that gives 13 values.

--== Message from GMAT Club Team ==--

This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.
Re: PS : Triangles   [#permalink] 08 Oct 2008, 18:39
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