Answer
6
Work Step by Step
First, we find the height:
$A = 1/2 bh \\ h = \frac{2A}{b} = \frac{2(108\sqrt{3})}{12\sqrt3} = 18$
The apothem is part of a 30-60-90 triangle, where 1/3 of the height is the apothem:
$ a = 18(1/3) = 6$
Elementary Geometry for College Students (5th Edition)
by Alexander, Daniel C.; Koeberlein, Geralyn M.
Published by
Brooks Cole
ISBN 10:
1439047901
ISBN 13:
978-1-43904-790-3
Chapter 8 - Review Exercises - Page 399: 20
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