Elementary Geometry for College Students (5th Edition)

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

Chapter 3 - Section 3.5 - Inequalities in a Triangle - Exercises - Page 165: 14c

Answer

It is possible.

Work Step by Step

The sum of any two sides is greater than the third side, therfore the drawing of the triangle is possible. Here, $f=8, g=6, h=7$ See the picture below:
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