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# ps -triangle

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Joined: 07 Nov 2007
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03 Sep 2008, 21:34
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There is a certain triangle with sides 7, 10, and . It is known that is an integer. How many different values can take?

8
10
13
14
16
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Kudos [?]: 1059 [0], given: 5

SVP
Joined: 29 Aug 2007
Posts: 2472

Kudos [?]: 843 [0], given: 19

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03 Sep 2008, 21:42
x2suresh wrote:
There is a certain triangle with sides 7, 10, and . It is known that is an integer. How many different values can take?

8
10
13
14
16

13 i.e. integers between 17 and 3 excluding.
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Kudos [?]: 843 [0], given: 19

Intern
Joined: 29 Aug 2008
Posts: 8

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03 Sep 2008, 21:44
13

Has to be greater than the difference 10- 7 and smaller than the sum 10+7

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VP
Joined: 05 Jul 2008
Posts: 1402

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03 Sep 2008, 21:51
Yep 16-4 +1 = 13

all the numbers 4 thru 16 inclusive.

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SVP
Joined: 17 Jun 2008
Posts: 1534

Kudos [?]: 279 [0], given: 0

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03 Sep 2008, 23:44
If x is that integer then 7 + x > 10 or, x > 3.
Also, 7 + 10 > x or x < 17. Values between 3 and 17 excluding both = 17 - 3 - 1 = 13.

Kudos [?]: 279 [0], given: 0

Re: ps -triangle   [#permalink] 03 Sep 2008, 23:44
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