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If points A, B, and C are the centers
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10 Jun 2021, 08:52
10 Jun 2021, 08:52
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20% (01:03) wrong based on 25 sessions
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If points A, B, and C are the centers of the above circles and the circles have radii of 2,3, and 4 respectively, what is the perimeter of triangle ABC ?
A. 9
B. 3π
C. 12
D. 18
E. 9π
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Re: If points A, B, and C are the centers
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10 Jun 2021, 09:07
10 Jun 2021, 09:07
1
Carcass wrote:
If points A, B, and C are the centers of the above circles and the circles have radii of 2,3, and 4 respectively, what is the perimeter of triangle ABC ?
A. 9
B. 3π
C. 12
D. 18
E. 9π
Let's add a point at each of the three points where two circles touch
Since the radius of the smallest circle is 2, we can add that to our diagram to get:
When we do the same for the other two circles we get:
So, the perimeter of triangle ABC = 2 + 2 + 3 + 3 + 4 + 4
= 18
Answer: D
Cheers,
Brent
gmatclubot
Re: If points A, B, and C are the centers [#permalink]
10 Jun 2021, 09:07
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