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**Strangerrr****Member**- Registered: 2018-07-28
- Posts: 23

4. A regular hexagon rests on one of the flat sides and has a total height of 14 ft. What is the measure of one of the hexagon’s sides?

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**alter ego****Member**- Registered: 2012-03-30
- Posts: 27

Hi Strangerrr,

Cannot provide a diagram but hopefully you can sketch this. Starting at the top and going round clockwise, call the points A, B, C, D, E, and F. Then the height is AE = 14.

Triangle AEF is isosceles with angles 120, 30 and 30.

To make a right angle draw a line across from F to C. Where FC cuts AE call this point G. Then triangle AGF is 30, 60, 90 with AG = 7.

So use trig to calculate AF.

Bob

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