How to find the apothem of this figure?
https://media.glynlyon.com/g_geo_2012/8/group104.gif

Question

How to find the apothem of this figure?
https://media.glynlyon.com/g_geo_2012/8/group104.gif

mertsj · Answer

That is a regular hexagon so the apothem is the altitude of an equilateral triangle.
That altitude divides the triangle into a 30-60-90 special right triangle.

mertsj · Answer

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anonymous · Answer

So would that make the apothem 4?

mertsj · Answer

No. That is not a 45-45-90 triangle with 2 equal legs. It is a 30-60-90. What is the relation between the legs in a 30-60-90?

anonymous · Answer

Oh! The longer leg is the srt of 3 bigger than the shorter one, right?

mertsj · Answer

Very good!!  Multiply the 4 by sqrt3 and you have the long leg which is the altitude.

mertsj · Answer

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