Which of the following can be a perimeter of a triangle : GMAT Problem Solving (PS)
Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

 It is currently 24 Jan 2017, 00:15

### 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

# Which of the following can be a perimeter of a triangle

Author Message
TAGS:

### Hide Tags

Manager
Joined: 22 May 2007
Posts: 217
Followers: 2

Kudos [?]: 85 [2] , given: 0

Which of the following can be a perimeter of a triangle [#permalink]

### Show Tags

02 Aug 2008, 19:27
2
KUDOS
9
This post was
BOOKMARKED
00:00

Difficulty:

65% (hard)

Question Stats:

49% (02:05) correct 51% (01:04) wrong based on 284 sessions

### HideShow timer Statistics

Which of the following can be a perimeter of a triangle inscribed in a circle of radius 1?

I. 0.001
II. 0.010
III. 0.100

A. I only
B. III only
C. II and III only
D. I, II, and III
E. Not I, II, or III
[Reveal] Spoiler: OA
Director
Joined: 27 May 2008
Posts: 549
Followers: 8

Kudos [?]: 312 [0], given: 0

### Show Tags

02 Aug 2008, 19:30
aaron22197 wrote:
Which of the following can be a perimeter of a triangle inscribed in a circle of radius 1?

I. 0.001

II. 0.010

III. 0.100

# I only
# III only
# II and III only
# I, II, and III
# not I, II, or III

i think its D. we can have very small triangle possbile in one small chord of the circle ...
VP
Joined: 17 Jun 2008
Posts: 1397
Followers: 8

Kudos [?]: 290 [0], given: 0

### Show Tags

02 Aug 2008, 19:39
aaron22197 wrote:
Which of the following can be a perimeter of a triangle inscribed in a circle of radius 1?

I. 0.001

II. 0.010

III. 0.100

# I only
# III only
# II and III only
# I, II, and III
# not I, II, or III

IMO there is no restriction in the size(perimeter) of a triangle inscribed in a circle since there are many sets of triplets of coordinates in triangle.Hence D is IMO Answer
_________________

cheers
Its Now Or Never

VP
Joined: 17 Jun 2008
Posts: 1397
Followers: 8

Kudos [?]: 290 [0], given: 0

### Show Tags

02 Aug 2008, 19:41
You post so many good questions in quant.whats the source of these questions?is there any Q bank ? or Book?
_________________

cheers
Its Now Or Never

Manager
Joined: 22 May 2007
Posts: 217
Followers: 2

Kudos [?]: 85 [0], given: 0

### Show Tags

02 Aug 2008, 19:55
spriya wrote:
You post so many good questions in quant.whats the source of these questions?is there any Q bank ? or Book?

I am working through the GMAT Club tests right now Priya. Most of the questions I post are questions I find interesting/challenging/conceptual. I think gmatclub has a summer pack for \$29.
Director
Joined: 23 Sep 2007
Posts: 789
Followers: 5

Kudos [?]: 185 [0], given: 0

### Show Tags

02 Aug 2008, 20:12
E

by definition, an inscribed triangle must have all 3 vertexes as points on the perimeter of the circle.
Director
Joined: 27 May 2008
Posts: 549
Followers: 8

Kudos [?]: 312 [0], given: 0

### Show Tags

02 Aug 2008, 20:18
gmatnub wrote:
E

by definition, an inscribed triangle must have all 3 vertexes as points on the perimeter of the circle.

even with all 3 points on the perimeter of the circle, we can have a very small triangle possible ....
Director
Joined: 23 Sep 2007
Posts: 789
Followers: 5

Kudos [?]: 185 [0], given: 0

### Show Tags

02 Aug 2008, 20:22
durgesh79 wrote:
gmatnub wrote:
E

by definition, an inscribed triangle must have all 3 vertexes as points on the perimeter of the circle.

even with all 3 points on the perimeter of the circle, we can have a very small triangle possible ....

the question stated that the radius of the circle is 1
Director
Joined: 27 May 2008
Posts: 549
Followers: 8

Kudos [?]: 312 [2] , given: 0

### Show Tags

02 Aug 2008, 20:30
2
KUDOS
gmatnub wrote:
durgesh79 wrote:
gmatnub wrote:
E

by definition, an inscribed triangle must have all 3 vertexes as points on the perimeter of the circle.

even with all 3 points on the perimeter of the circle, we can have a very small triangle possible ....

the question stated that the radius of the circle is 1

doesnt matter.. please see attached pic.. can make that traingle even smaller as compared to circle
Attachment:

circle.PNG [ 11.33 KiB | Viewed 4724 times ]
Director
Joined: 23 Sep 2007
Posts: 789
Followers: 5

Kudos [?]: 185 [1] , given: 0

### Show Tags

02 Aug 2008, 20:45
1
KUDOS
thanks, did not see that coming.
VP
Status: Final Lap Up!!!
Affiliations: NYK Line
Joined: 21 Sep 2012
Posts: 1096
Location: India
GMAT 1: 410 Q35 V11
GMAT 2: 530 Q44 V20
GMAT 3: 630 Q45 V31
GPA: 3.84
WE: Engineering (Transportation)
Followers: 37

Kudos [?]: 528 [0], given: 70

Re: Which of the following can be a perimeter of a triangle [#permalink]

### Show Tags

03 Feb 2013, 13:00
I have a very specifc doubt

Since we know that perimeter of equilateral triangle is the smallest. Hence, Formula for circul radius is s/Square root (3)
Than the side of the equilateral triangle is Sqr root(3)
Therefore minimum perimeter that a triangle can have is 3*Sqr root of 3

Hence the answer should be E.

i know i am missing sthn
Senior Manager
Joined: 07 Sep 2010
Posts: 336
Followers: 6

Kudos [?]: 665 [0], given: 136

Re: Which of the following can be a perimeter of a triangle [#permalink]

### Show Tags

30 Apr 2013, 06:05
Hi
While solving question I was stuck that we need to take care of the property that sum of two sides must be greater than the third side. Isn't it required?

Regards,
H
_________________

+1 Kudos me, Help me unlocking GMAT Club Tests

Math Expert
Joined: 02 Sep 2009
Posts: 36620
Followers: 7103

Kudos [?]: 93600 [0], given: 10582

Re: Which of the following can be a perimeter of a triangle [#permalink]

### Show Tags

30 Apr 2013, 07:00
imhimanshu wrote:
Hi
While solving question I was stuck that we need to take care of the property that sum of two sides must be greater than the third side. Isn't it required?

Regards,
H

Yes, 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.

But how do you use the above property to solve the question?

The lower limit of the perimeter of an inscribed triangle in a circle of ANY radius is 0: P>0.

_________________
Senior Manager
Joined: 07 Sep 2010
Posts: 336
Followers: 6

Kudos [?]: 665 [0], given: 136

Re: Which of the following can be a perimeter of a triangle [#permalink]

### Show Tags

30 Apr 2013, 07:28
Bunuel wrote:

Yes, 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.

But how do you use the above property to solve the question?

The lower limit of the perimeter of an inscribed triangle in a circle of ANY radius is 0: P>0.

Thanks Bunuel, It makes sense.
Just wondering, , had the question been Must be True, then I believe, Answer would have been None of These. Am I correct?

Regards,
H
_________________

+1 Kudos me, Help me unlocking GMAT Club Tests

Math Expert
Joined: 02 Sep 2009
Posts: 36620
Followers: 7103

Kudos [?]: 93600 [0], given: 10582

Re: Which of the following can be a perimeter of a triangle [#permalink]

### Show Tags

30 Apr 2013, 07:30
imhimanshu wrote:
Bunuel wrote:

Yes, 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.

But how do you use the above property to solve the question?

The lower limit of the perimeter of an inscribed triangle in a circle of ANY radius is 0: P>0.

Thanks Bunuel, It makes sense.
Just wondering, , had the question been Must be True, then I believe, Answer would have been None of These. Am I correct?

Regards,
H

Sure. We don't know what is the actual perimeter of the triangle.
_________________
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 13534
Followers: 577

Kudos [?]: 163 [0], given: 0

Re: Which of the following can be a perimeter of a triangle [#permalink]

### Show Tags

22 Jun 2014, 23:49
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.
_________________
Verbal Forum Moderator
Joined: 02 Aug 2009
Posts: 4249
Followers: 331

Kudos [?]: 3480 [0], given: 101

Re: Which of the following can be a perimeter of a triangle [#permalink]

### Show Tags

02 Jun 2016, 05:58
Expert's post
1
This post was
BOOKMARKED
Hi debbiem,

with the given info we can have an upper limit to the perimeter but cannot say the lower limit, it can be easily any minute value.
Here we are given radius as 1..
the max perimeter should be of a triangle which has two sides almost of the length of dia and third a very very minute value, so it will be nearly 4..
so you can easily say any value<4 is a possiblity..

all three are less than 4..
D
_________________

Absolute modulus :http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html

Re: Which of the following can be a perimeter of a triangle   [#permalink] 02 Jun 2016, 05:58
Similar topics Replies Last post
Similar
Topics:
3 Which of the following can be the ratio of sides of a triangle? 2 28 Feb 2016, 07:26
1 The figure above has a perimeter of 50. Which of the following express 2 19 Nov 2015, 17:37
16 Which of the following gives a complete set of the triangles 14 01 Jan 2013, 16:09
3 Which of the following expression can be written as an 3 16 May 2012, 16:29
4 Which of the following could be the sides of an obtuse angled triangle 13 04 Jun 2011, 08:02
Display posts from previous: Sort by