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# If two sides of a triangle have length 2 and 5, which of the

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VP
Joined: 09 Jul 2007
Posts: 1108
Location: London
Followers: 6

Kudos [?]: 76 [0], given: 0

If two sides of a triangle have length 2 and 5, which of the [#permalink]  10 Aug 2007, 17:00
If two sides of a triangle have length 2 and 5, which of the folowing could be the perimeter of the triangle?

I 9
II 15
III 19

thanks
Senior Manager
Joined: 29 Nov 2006
Posts: 321
Location: Orange County, CA
Followers: 1

Kudos [?]: 45 [0], given: 0

is None an option?

With triangles, the rule is that the 3rd side must be greater than the difference of side 1 and side 2 but less than their sum.

Since side one is =2, side two is =5, difference is 3, sum is 7.

smallest perimeter: 2+5+4 = 11
largest perimeter: 2+5+6 = 13.

doesn't fall into any of the choices, so I would have picked None of the Above.
Director
Joined: 12 Jul 2007
Posts: 864
Followers: 13

Kudos [?]: 224 [0], given: 0

yup, none of those work at all. I hope that was a choice.

Just try to visualize it if you don't like the math.

You can't have one side be 5 and have the other two sides be 2 and 2 because they would never close to make a triangle.

8 is too much because that's more than 5+2 so 15 is out. which makes 19 even more ridiculous. if the other 2 sides laid end to end are shorter than the 3rd side there's no way it can work.
VP
Joined: 09 Jul 2007
Posts: 1108
Location: London
Followers: 6

Kudos [?]: 76 [0], given: 0

misterJJ2u wrote:
is None an option?

With triangles, the rule is that the 3rd side must be greater than the difference of side 1 and side 2 but less than their sum.

Since side one is =2, side two is =5, difference is 3, sum is 7.

smallest perimeter: 2+5+4 = 11
largest perimeter: 2+5+6 = 13.

doesn't fall into any of the choices, so I would have picked None of the Above.

it is none actually,
i just could not remember the rule thanks mate

but i like math eschn3am
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# If two sides of a triangle have length 2 and 5, which of the

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