Difference between revisions of "2012 AMC 12B Problems/Problem 21"
Mrdavid445 (talk | contribs) (Created page with "==Problem== Square <math>AXYZ</math> is inscribed in equiangular hexagon <math>ABCDEF</math> with <math>X</math> on <math>\overline{BC}</math>, <math>Y</math> on <math>\overline...") |
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<math> \textbf{(A)}\ 29\sqrt{3} \qquad\textbf{(B)}\ \frac{21}{2}\sqrt{2}+\frac{41}{2}\sqrt{3}\qquad\textbf{(C)}\ 20\sqrt{3}+16</math> | <math> \textbf{(A)}\ 29\sqrt{3} \qquad\textbf{(B)}\ \frac{21}{2}\sqrt{2}+\frac{41}{2}\sqrt{3}\qquad\textbf{(C)}\ 20\sqrt{3}+16</math> | ||
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<math>\textbf{(D)}\ 20\sqrt{2}+13\sqrt{3} | <math>\textbf{(D)}\ 20\sqrt{2}+13\sqrt{3} | ||
\qquad\textbf{(E)}\ 21\sqrt{6}</math> | \qquad\textbf{(E)}\ 21\sqrt{6}</math> |
Revision as of 22:20, 24 February 2012
Problem
Square is inscribed in equiangular hexagon with on , on , and on . Suppose that , and . What is the side-length of the square?