It is currently 12 Dec 2017, 19:42

GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

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

Author Message
TAGS:

Hide Tags

Intern
Joined: 19 Oct 2004
Posts: 17

Kudos [?]: 4 [0], given: 0

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

Show Tags

02 May 2007, 10:46
5
This post was
BOOKMARKED
00:00

Difficulty:

5% (low)

Question Stats:

75% (00:16) correct 25% (00:16) wrong based on 288 sessions

HideShow timer Statistics

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

OPEN DISCUSSION OF THIS QUESTION IS HERE: if-two-sides-of-a-triangle-have-lengths-2-and-5-which-of-th-163409.html
[Reveal] Spoiler: OA

Last edited by Bunuel on 09 Jun 2014, 07:38, edited 2 times in total.
Renamed the topic, edited the question and added the OA.

Kudos [?]: 4 [0], given: 0

Intern
Joined: 26 Feb 2007
Posts: 3

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

Show Tags

02 May 2007, 13:47
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

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

VP
Joined: 08 Jun 2005
Posts: 1141

Kudos [?]: 257 [1], given: 0

Show Tags

02 May 2007, 14:07
1
KUDOS
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

Kudos [?]: 257 [1], given: 0

Manager
Joined: 02 May 2007
Posts: 152

Kudos [?]: 5 [0], given: 0

Re: GMAT PREP - PS [#permalink]

Show Tags

02 May 2007, 20:52
lavanya_25 wrote:
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

(B) it is

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

Kudos [?]: 5 [0], given: 0

Senior Manager
Joined: 19 Feb 2007
Posts: 325

Kudos [?]: 71 [0], given: 0

Re: GMAT PREP - PS [#permalink]

Show Tags

03 May 2007, 00:45
kirakira wrote:
lavanya_25 wrote:
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

(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

Kudos [?]: 71 [0], given: 0

Manager
Joined: 04 Oct 2006
Posts: 76

Kudos [?]: 38 [0], given: 0

Show Tags

04 May 2007, 04:44
1
This post was
BOOKMARKED
----------------
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

Kudos [?]: 38 [0], given: 0

Senior Manager
Joined: 03 May 2007
Posts: 270

Kudos [?]: 15 [0], given: 0

Show Tags

04 May 2007, 07:13
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.

Kudos [?]: 15 [0], given: 0

Non-Human User
Joined: 09 Sep 2013
Posts: 14894

Kudos [?]: 287 [0], given: 0

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

Show Tags

09 Jun 2014, 07:18
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

Kudos [?]: 287 [0], given: 0

Math Expert
Joined: 02 Sep 2009
Posts: 42575

Kudos [?]: 135406 [0], given: 12692

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

Show Tags

09 Jun 2014, 07:38
Expert's post
4
This post was
BOOKMARKED
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

The length of any side of a triangle must be larger than the positive difference of the other two sides, but smaller than the sum of the other two sides.

Therefore:
(5-2) < {third side} < (5+2).

3 < {third side} < 7.

Perimeter = {third side} + 2 + 5 = {third side} + 7.

10 < {perimeter} < 14.

OPEN DISCUSSION OF THIS QUESTION IS HERE: if-two-sides-of-a-triangle-have-lengths-2-and-5-which-of-th-163409.html
_________________

Kudos [?]: 135406 [0], given: 12692

Re: If two sides of a triangle have lengths 2 and 5, which of   [#permalink] 09 Jun 2014, 07:38
Display posts from previous: Sort by