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# Triangles

Author Message
Manager
Joined: 03 Sep 2009
Posts: 77

Kudos [?]: 109 [0], given: 3

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21 Jan 2010, 12:44
Hi Experts,

Could anybody help me in understanding the reasoning and concept behind the following question:

Q: Which of the following can be the perimeter of a triangle inscribed in a circle with a radius of 1?
1. .001
2. .010
3. .100

a) 1 only
b) 3 only
c) 2 & 3 only
d) 1,2 & 3
e) not 1,2 or 3

Many thanks in anticipation.

-Amit

Kudos [?]: 109 [0], given: 3

CEO
Joined: 17 Nov 2007
Posts: 3585

Kudos [?]: 4483 [0], given: 360

Concentration: Entrepreneurship, Other
Schools: Chicago (Booth) - Class of 2011
GMAT 1: 750 Q50 V40

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21 Jan 2010, 15:41
D

You can choose any three points and draw a triangle. The closer these points the smaller triangle and its perimeter. So, perimeter can be almost 0. At the same time, perimeter cannot be essentially bigger than radius because such triangle cannot be inscribed. Let's say you build triangle with two sides almost 2r and third side - almost 0. This triangle will have perimeter ~ 4r or 4. Now we have range 4>P>0. Now you can see that P can be 0.001, 0.01 and 0.1
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Kudos [?]: 4483 [0], given: 360

Re: Triangles   [#permalink] 21 Jan 2010, 15:41
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# Triangles

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