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: 22c

Answer

FB

Work Step by Step

$\angle$A=180-60-40=80$^{\circ}$ $\angle$A$\gt$$\angle$C$\gt$$\angle$B CB is across from the largest angle in ABC so it is the largest side. Since FB is proportional to the longest side while AF is proportional to the shortest side, FB must be longer.
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