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 267: 22a

Answer

EC

Work Step by Step

$\angle$A=180-60-40=80$^{\circ}$ BC is across from the largest angle in ABC so it is the largest side. Since EC is proportional to the longest side while AE is proportional to the second longest side, EC must be longer.
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