Elementary Geometry for College Students (5th Edition)

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

Chapter 5 - Section 5.6 - Segments Divided Proportionally - Exercises - Page 268: 40c

Answer

RZ = 70/13 ZT = 99/13

Work Step by Step

Using the Pythagorean theorem, we find: $ RZ= \sqrt{14^2 - (168/13)^2} = \sqrt{\frac{4900}{169}} = 70/13$ $ ZT = RT - RZ = 13 - 70/13 = 99/13$
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