MathDB
Regular Hexagon

Source: AMC 12 2006B, Problem 16

February 17, 2006
geometryLaTeXtrigonometrycongruent trianglesAMC

Problem Statement

Regular hexagon ABCDEF ABCDEF has vertices A A and C C at (0,0) (0,0) and (7,1) (7,1), respectively. What is its area? <spanclass=′latex−bold′>(A)</span>203<spanclass=′latex−bold′>(B)</span>223<spanclass=′latex−bold′>(C)</span>253<spanclass=′latex−bold′>(D)</span>273<spanclass=′latex−bold′>(E)</span>50 <span class='latex-bold'>(A) </span> 20\sqrt {3} \qquad <span class='latex-bold'>(B) </span> 22\sqrt {3} \qquad <span class='latex-bold'>(C) </span> 25\sqrt {3} \qquad <span class='latex-bold'>(D) </span> 27\sqrt {3} \qquad <span class='latex-bold'>(E) </span> 50
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