If two sides of a triangle have lengths 2 and 5, which of

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If two sides of a triangle have lengths 2 and 5, which of [#permalink]

02 May 2007, 11:46

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If two sides of a triangle have lengths 2 and 5, which of the following could be the perimeter of the triangle?

I) 9
II)15
III) 19

A) None
B) I Only
C) II Only
D) II and III only
E) I,II and III

Help with this one .

Thanks
Lavanya

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02 May 2007, 14:47

None b/c the 1 side of a triangle cant be more than the sum of the two other sides. Otherwise it wouldnt be a triangle.

1 side<2 other sides

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02 May 2007, 15:07

you have to know the rule:

"one property that all triangles share is that the sum of the lengths of any two sides is greater then the length of the third side"

x+y>z
z+x>y
y+z>x

x=2
y=5
z=?

2+5>z
z+2>5
5+z>2

from this we know that z has to be - 3>z>7

perimeter = x+y+z

case 1 - z=2
case 2 - z=8
case 3 - z=12

hence the answer is (A) - none

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Re: GMAT PREP - PS [#permalink]

02 May 2007, 21:52

lavanya_25 wrote:

(B) it is

The question is "which of the following could be the perimeter of the triangle?"

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Re: GMAT PREP - PS [#permalink]

03 May 2007, 01:45

kirakira wrote:

lavanya_25 wrote:

(B) it is

The question is "which of the following could be the perimeter of the triangle?"

The ans should be A

Since the third side should be less than the sum of other 2 sides and greater than their difference.

so 3 < Third side <7

so 10 < Perimeter < 14

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04 May 2007, 05:44

----------------
If two sides of a triangle have lengths 2 and 5, which of the following could be the perimeter of the triangle?

I) 9
II)15
III) 19
----------------

max of the third side is 2+5 = 7 then the perimeter max is less than 14
min of the third side is 5-2 = 3 then the perimeter min is more than 10

Answer A.

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04 May 2007, 08:13

yeah answer is none
the rule is simple: sum of the lengths of any two sides of triangle have to be greater than the length of the third one.

[#permalink] 04 May 2007, 08:13

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If two sides of a triangle have lengths 2 and 5, which of

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If two sides of a triangle have lengths 2 and 5, which of

If two sides of a triangle have lengths 2 and 5, which of

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