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# m14 question 2

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Intern
Joined: 15 Feb 2010
Posts: 11
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Kudos [?]: 9 [0], given: 0

m14 question 2 [#permalink]  17 May 2010, 15:30
if three circles having radii 1,2, and 3 respectively lie on a plane, do any two of these circles intersect?

1. centers of the circles form an equilateral triangle with height $$2\sqrt{3}$$
2. centers of the circles do not lie on the same line.

i am unable to draw a picture with this
can anyone show me!
Manager
Joined: 08 May 2010
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Re: m14 question 2 [#permalink]  17 May 2010, 18:44
1
KUDOS
I am unable to draw on the comment section as I don't have the technical skills. But visualizing this may not be necessary. The important thing is to look at statement one and rank the order of the circle radii with the sides of the equilateral triangle whose vertices are made from the circle centers. This ranking would be 1, 1.154.., 2,3. Therefore statement 1 is sufficient to answer the question of intersection. Statement 2 does not seem helpful.

Manager
Joined: 30 Mar 2010
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Re: m14 question 2 [#permalink]  18 May 2010, 02:52
I didn't get

How you found these values = 1, 1.154.., 2,3 ?? Marked +1 kudos already

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CIO
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Re: m14 question 2 [#permalink]  18 May 2010, 07:01
I've drawn a sketch that might help you. Height AG is equal to $$2\sqrt{3}$$.

[Reveal] Spoiler: Image
Attachment:

m14-02.png [ 13.87 KiB | Viewed 779 times ]

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Re: m14 question 2   [#permalink] 18 May 2010, 07:01
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# m14 question 2

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