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Mathematics-Online problems:

Interactive Problem 90: Geometry of a Hexagon

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#./interaufg90_en.tex#The figure shows a regular hexagon with side length 1, whose vertices are connected with each other.

\includegraphics[width=0.6\linewidth]{6eck.eps}

Determine the lengths of the line segments and the areas of the triangles and quadrilaterals generated by connecting all the vertices.


Answer:

Length of the line segments:
  $ a = $
  $ b = $
  $ c = $
  $ d = $


Areas:
  $ E = $
  $ F = $
  $ G = $

(The results should be correct to three decimal places.)


   

(From: Day of Mathematics 2000)
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  automatically generated: 2/ 6/2018