SOLUTION: A regular hexagon has sides of length 8cm Find the perpendicular distance between two opposites faces

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Question 1180055: A regular hexagon has sides of length 8cm
Find the perpendicular distance between two opposites faces

Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!

The internal angles of a regular hexagon is degrees

The diagonals connecting the two edges of opposite sides makes equilateral triangles with apex at the centre.

Hence the perpendicular distance would be twice that of the longer side of a 30/60/90 degree triangle with hypothenuse .

Using Pythagoras theorem




Hence this length would be exactly, or approximately

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