Answer:
[tex]GF=11\ units[/tex]
Step-by-step explanation:
we know that
Applying The Pythagorean Theorem in the right triangle GHF of the figure
[tex]GF^2=GH^2+HF^2[/tex]
we have
[tex]GH=6\ units\\HF=9\ units[/tex]
substitute
[tex]GF^2=6^2+9^2[/tex]
[tex]GF^2=36+81[/tex]
[tex]GF^2=117[/tex]
[tex]GF=10.8\ units[/tex]
Round to the nearest unit
[tex]GF=11\ units[/tex]
