Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole
ISBN 10: 9781285195698
ISBN 13: 978-1-28519-569-8

Chapter 7 - Section 7.3 - More about Regular Polygons - Exercises - Page 332: 16


r=$\frac{20\sqrt 3}{3}$ s=$\frac{20\sqrt 3}{3}$

Work Step by Step

The radius and side of a regular hexagon are congruent. the apothem is the altitude of an equilateral triangle formed by its two surrounding radii and connected side. Therefore the apothem is the long leg of a 30 60 90 triangle with a radius for a hypotenuse. a=.5s$\sqrt 3$ 20=s$\sqrt 3$ s=$\frac{20\sqrt 3}{3}$ r=s=$\frac{20\sqrt 3}{3}$
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