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# If the three identical circles shown are centered at K, L, and M, resp

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Math Expert
Joined: 02 Sep 2009
Posts: 53063
If the three identical circles shown are centered at K, L, and M, resp  [#permalink]

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04 Sep 2018, 22:40
00:00

Difficulty:

35% (medium)

Question Stats:

76% (00:40) correct 24% (00:49) wrong based on 21 sessions

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If the three identical circles shown are centered at K, L, and M, respectively, and all are tangent to one another, what is the area of the triangle shown in the figure?

(1) Triangle KLM is an equilateral triangle.
(2) The radius of circle K is 3.

Attachment:

image020 (1).jpg [ 5.78 KiB | Viewed 216 times ]

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Director
Joined: 20 Feb 2015
Posts: 795
Concentration: Strategy, General Management
Re: If the three identical circles shown are centered at K, L, and M, resp  [#permalink]

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04 Sep 2018, 22:46
Bunuel wrote:

If the three identical circles shown are centered at K, L, and M, respectively, and all are tangent to one another, what is the area of the triangle shown in the figure?

(1) Triangle KLM is an equilateral triangle.
(2) The radius of circle K is 3.

Attachment:
image020 (1).jpg

(1) Triangle KLM is an equilateral triangle.
area of an equilateral triangle = $$\frac{root3*a^2}{4}$$(where a is length of a side)
but we do not know a
insufficient

(2) The radius of circle K is 3.
since the circles are identical , they will have same radius
therefore , a= 6
area can be calculated
sufficient

B
Re: If the three identical circles shown are centered at K, L, and M, resp   [#permalink] 04 Sep 2018, 22:46
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