Respuesta :

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]

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