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: 40b

Answer

$YS= 42/5 \\ TY = 33/5$

Work Step by Step

Using the Pythagorean theorem, we find: $ YS= \sqrt{14^2 - (168/15)^2} = \sqrt{\frac{44100}{225}} = 42/5$ $ TY = TS - YS = 15 - 42/5 = 33/5$
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