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Three circles with radii of 2 cm , 3 cm, and 5 cm,

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Three circles with radii of 2 cm , 3 cm, and 5 cm,

by AAPL » Mon Nov 19, 2018 5:26 am

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Three circles with radii of 2 cm, 3 cm, and 5 cm, respectively are on the same plane. If the centers of the three circles are all on the same line and each circle is tangent to at least one of the other two circles, then what is the shortest possible distance, in cm, between the center of the largest circle and the center of the smallest circle?

A. 0
B. 1
C. 3
D. 7
E. 13

OA B.
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by abhishekgoswami1234u » Mon Nov 19, 2018 8:36 am
D. 7 cm
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by fskilnik@GMATH » Mon Nov 19, 2018 10:20 am
AAPL wrote:EMPOWERgmat

Three circles with radii of 2 cm, 3 cm, and 5 cm, respectively are on the same plane. If the centers of the three circles are all on the same line and each circle is tangent to at least one of the other two circles, then what is the shortest possible distance, in cm, between the center of the largest circle and the center of the smallest circle?

A. 0
B. 1
C. 3
D. 7
E. 13
The correct answer is (B), indeed.

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This solution follows the notations and rationale taught in the GMATH method.

Regards,
Fabio.
Fabio Skilnik :: GMATH method creator ( Math for the GMAT)
English-speakers :: https://www.gmath.net
Portuguese-speakers :: https://www.gmath.com.br
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