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| − | ==Problem==
| + | #redirect [[2004 AMC 12A Problems/Problem 19]] |
| − | Circles <math>A</math>, <math>B</math>, and <math>C</math> are externally tangent to each other and internally tangent to circle <math>D</math>. Circles <math>B</math> and <math>C</math> are congruent. Circle <math>A</math> has radius <math>1</math> and passes through the center of <math>D</math>. What is the radius of circle <math>B</math>?
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| − | <center>[[Image:AMC10_2004A_23.png]]</center>
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| − | <math> \mathrm{(A) \ } \frac{2}{3} \qquad \mathrm{(B) \ } \frac{\sqrt{3}}{2} \qquad \mathrm{(C) \ } \frac{7}{8} \qquad \mathrm{(D) \ } \frac{8}{9} \qquad \mathrm{(E) \ } \frac{1+\sqrt{3}}{3} </math>
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| − | ==Solution==
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| − | == See also ==
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| − | * <url>viewtopic.php?t=131335 AoPS topic</url>
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| − | {{AMC10 box|year=2004|ab=A|num-b=22|num-a=24}}
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