SOLUTION: If a regular hexagon has a side of length 6cm.find the perpendicular distance between the two opposite side.

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Question 1194054: If a regular hexagon has a side of length 6cm.find the perpendicular distance between the two opposite side.
Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39614) About Me  (Show Source):
You can put this solution on YOUR website!
A regular hexagon can be imagined as composed of six congruent equlateral triangles. The length from one vertex to the middle of the side opposite is HALF the distance asked for in your question. Maybe you can understand and work with it to solve the problem question.

Answer by greenestamps(13196) About Me  (Show Source):
You can put this solution on YOUR website!


A regular hexagon can be viewed as being composed of 6 equilateral triangles.

The altitude of any of those equilateral triangles divides the triangle into two 30-60-90 right triangles with hypotenuse 6cm. That makes the length of each altitude 3%2Asqrt%283%29 cm.

The distance the problem asks for is the total length of the altitudes of two of the equilateral triangles.

ANSWER: 6%2Asqrt%283%29 cm