Elementary Geometry for College Students (7th Edition) Clone

Published by Cengage
ISBN 10: 978-1-337-61408-5
ISBN 13: 978-1-33761-408-5

Chapter 6 - Section 6.4 - Some Constructions and Inequalities for the Circle - Exercises - Page 311: 32

Answer

AB is about .66 cm closer.

Work Step by Step

Let the distance from chord AB to point O be x. Let the distance from chord CD to point O be y. x$^2$=10$^2$-6$^2$ x$^2$=64 x=8 y$^2$=10$^2$-5$^2$ y$^2$=75 y=5$\sqrt 3$ y-x=5$\sqrt 3$-8$\approx$.66
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