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 $f=10, g=8, h=9$
See the picture below:
Elementary Geometry for College Students (5th Edition)
by Alexander, Daniel C.; Koeberlein, Geralyn M.
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: 13a
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