Difference between revisions of "2016 AMC 10A Problems/Problem 21"

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Revision as of 18:02, 3 February 2016 (view source) 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...")		Latest revision as of 14:33, 26 January 2021 (view source) Sugar rush (talk \| contribs) (Redirected page to 2016 AMC 12A Problems/Problem 15) (Tag: New redirect)
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−	~~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 tangent to <math>l</math> at <math>P', Q'</math> and <math>R'</math>, respectively, with <math>Q'</math> between <math>P'</math> and <math>R'</math>. The circle with center <math>Q</math> is externally tangent to each of the other two circles. What is the area of triangle <math>PQR</math>?	+	#redirect [[2016 AMC 12A Problems/Problem 15]]
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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>~~