Elementary Geometry for College Students (5th Edition)

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

Chapter 6 - Section 6.3 - Line and Segment Relationships in the Circle - Exercises - Page 307: 24



Work Step by Step

Using theorem 6.3.7, we obtain: $RV \times RT = RS^2 $ We know that RV is equal to RT plus 9 and that RT equals $.5RS$, so we find: $.5RS(9+.5RS) = RS^2 \\4.5RS = .75RS^2 \\ 6=RS$ RT is half of RS, so it equals 3.
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