Difference between revisions of "2016 AMC 10A Problems/Problem 21"
Math101010 (talk | contribs) (Created page with "Circles with centers <math>P, Q</math> and <math>R</math>, having radii <math>1, 2</math> and <math>3</math>, respectively, lie on the same side of line <math>l</math> and are...") |
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<math>\textbf{(A) } 0\qquad \textbf{(B) } \sqrt{\frac{2}{3}}\qquad\textbf{(C) } 1\qquad\textbf{(D) } \sqrt{6}-\sqrt{2}\qquad\textbf{(E) }\sqrt{\frac{3}{2}}</math> | <math>\textbf{(A) } 0\qquad \textbf{(B) } \sqrt{\frac{2}{3}}\qquad\textbf{(C) } 1\qquad\textbf{(D) } \sqrt{6}-\sqrt{2}\qquad\textbf{(E) }\sqrt{\frac{3}{2}}</math> | ||
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| + | ==Solution 1== | ||
Revision as of 22:11, 3 February 2016
Circles with centers 
and 
, having radii 
and 
, respectively, lie on the same side of line 
and are tangent to at 
and 
, respectively, with 
between 
and . The circle with center 
is externally tangent to each of the other two circles. What is the area of triangle 
?
