Question

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

Answer 1

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.

Answer 2

So would that make the apothem 4?

Answer 3

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?

Answer 4

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

Answer 5

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