Elementary Geometry for College Students (5th Edition)

Published by Brooks Cole
ISBN 10: 1439047901
ISBN 13: 978-1-43904-790-3

Chapter 11 - Review Exercises: 4

Answer

$f=10sin(36)$

Work Step by Step

Since this is a pentagon, the angle is given by: 360/10=36 If we draw a triangle extending to the center point between each corner, we find that the length of this side $f/2$ is: $sin(36)= (f/2)/a$ This gives: $2asin(36)=f$ Since a=5: $f=10sin(36)$
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