Author 
Message 
TAGS:

Hide Tags

Manager
Joined: 22 May 2007
Posts: 218

Which of the following can be a perimeter of a triangle [#permalink]
Show Tags
02 Aug 2008, 19:27
4
This post received KUDOS
12
This post was BOOKMARKED
Question Stats:
51% (01:02) correct 49% (01:03) wrong based on 348 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
Official Answer and Stats are available only to registered users. Register/ Login.



Director
Joined: 27 May 2008
Posts: 540

Re: Perimeter [#permalink]
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: 1373

Re: Perimeter [#permalink]
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: 1373

Re: Perimeter [#permalink]
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: 218

Re: Perimeter [#permalink]
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: 782

Re: Perimeter [#permalink]
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: 540

Re: Perimeter [#permalink]
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: 782

Re: Perimeter [#permalink]
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: 540

Re: Perimeter [#permalink]
Show Tags
02 Aug 2008, 20:30
2
This post received KUDOS
1
This post was BOOKMARKED
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 6099 times ]



Director
Joined: 23 Sep 2007
Posts: 782

Re: Perimeter [#permalink]
Show Tags
02 Aug 2008, 20:45
1
This post received KUDOS
thanks, did not see that coming.



VP
Status: Final Lap Up!!!
Affiliations: NYK Line
Joined: 21 Sep 2012
Posts: 1072
Location: India
GMAT 1: 410 Q35 V11 GMAT 2: 530 Q44 V20 GMAT 3: 630 Q45 V31
GPA: 3.84
WE: Engineering (Transportation)

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: 325

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? Please clarify. Regards, H
_________________
+1 Kudos me, Help me unlocking GMAT Club Tests



Math Expert
Joined: 02 Sep 2009
Posts: 43901

Re: Which of the following can be a perimeter of a triangle [#permalink]
Show Tags
30 Apr 2013, 07:00



Senior Manager
Joined: 07 Sep 2010
Posts: 325

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.
Answer is D.
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? Please clarify. Regards, H
_________________
+1 Kudos me, Help me unlocking GMAT Club Tests



Math Expert
Joined: 02 Sep 2009
Posts: 43901

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.
Answer is D.
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? Please clarify. Regards, H Sure. We don't know what is the actual perimeter of the triangle.
_________________
New to the Math Forum? Please read this: Ultimate GMAT Quantitative Megathread  All You Need for Quant  PLEASE READ AND FOLLOW: 12 Rules for Posting!!! Resources: GMAT Math Book  Triangles  Polygons  Coordinate Geometry  Factorials  Circles  Number Theory  Remainders; 8. Overlapping Sets  PDF of Math Book; 10. Remainders  GMAT Prep Software Analysis  SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS)  Tricky questions from previous years.
Collection of Questions: PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.
What are GMAT Club Tests? Extrahard Quant Tests with Brilliant Analytics



Math Expert
Joined: 02 Aug 2009
Posts: 5662

Re: Which of the following can be a perimeter of a triangle [#permalink]
Show Tags
02 Jun 2016, 05:58
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/absolutemodulusabetterunderstanding210849.html#p1622372 Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
BANGALORE/



Director
Joined: 13 Mar 2017
Posts: 563
Location: India
Concentration: General Management, Entrepreneurship
GPA: 3.8
WE: Engineering (Energy and Utilities)

Re: Which of the following can be a perimeter of a triangle [#permalink]
Show Tags
26 Sep 2017, 00:57
1
This post received KUDOS
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
A. I only B. III only C. II and III only D. I, II, and III E. Not I, II, or III If you start making triangles within the circle, you will realize that any smallest triangle can be formed with its 3 points lying on the circle. So triangle with minimum perimeter >(tends to) 0. Also maximum perimeter is possible when the 2 sides of triangle is just on the verge of becoming diameter of the circle. In that case perimeter of the triangle >(tends to) (2+2) = 4 So, 0< Required perimeter < 4 Hence I , II and III are all possible. Answer D
_________________
CAT 99th percentiler : VA 97.27  DILR 96.84  QA 98.04  OA 98.95
MBA Social Network : WebMaggu
Appreciate by Clicking +1 Kudos ( Lets be more generous friends.)




Re: Which of the following can be a perimeter of a triangle
[#permalink]
26 Sep 2017, 00:57






