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#1 2019-01-04 17:02:41

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

hexagon’s

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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#2 2019-01-05 06:17:00

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

Re: hexagon’s

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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