Question
In hexagon ABCDEF, AB = DE = 2, BC = EF = 4, CD = FA = 6, and all the interior angles are equal. Find the area of hexagon ABCDEF.
Answers
Draw diagonals AC and DF. The hexagon is now divided into a parallelogram (rectangle?) and two congruent triangles.
AC and DF can be found using the law of cosines, since all the interior angles are 120 degrees.
AC and DF can be found using the law of cosines, since all the interior angles are 120 degrees.