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Which of the following can be a perimeter of a triangle

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Which of the following can be a perimeter of a triangle [#permalink] New post 02 Aug 2008, 19:27
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A
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D
E

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Question Stats:

43% (01:56) correct 57% (01:12) wrong based on 121 sessions
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
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Re: Perimeter [#permalink] New post 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 ...
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Re: Perimeter [#permalink] New post 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
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Re: Perimeter [#permalink] New post 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?
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Re: Perimeter [#permalink] New post 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.
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Re: Perimeter [#permalink] New post 02 Aug 2008, 20:12
E

by definition, an inscribed triangle must have all 3 vertexes as points on the perimeter of the circle.
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Re: Perimeter [#permalink] New post 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 ....
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Re: Perimeter [#permalink] New post 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
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Re: Perimeter [#permalink] New post 02 Aug 2008, 20:30
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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
circle.PNG [ 11.33 KiB | Viewed 2707 times ]
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Re: Perimeter [#permalink] New post 02 Aug 2008, 20:45
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thanks, did not see that coming.
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Re: Which of the following can be a perimeter of a triangle [#permalink] New post 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
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Re: Which of the following can be a perimeter of a triangle [#permalink] New post 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
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Re: Which of the following can be a perimeter of a triangle [#permalink] New post 30 Apr 2013, 07:00
Expert's post
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?
Please clarify.

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.

Answer is D.
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Re: Which of the following can be a perimeter of a triangle [#permalink] New post 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, :roll: , had the question been Must be True, then I believe, Answer would have been None of These. Am I correct?
Please clarify.

Regards,
H
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Re: Which of the following can be a perimeter of a triangle [#permalink] New post 30 Apr 2013, 07:30
Expert's post
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, :roll: , 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.
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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

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Re: Which of the following can be a perimeter of a triangle [#permalink] New post 22 Jun 2014, 23:49
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Re: Which of the following can be a perimeter of a triangle   [#permalink] 22 Jun 2014, 23:49
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