Respuesta :

Answer:

GH = 7[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin45° = [tex]\frac{1}{\sqrt{2} }[/tex]

sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{HI}{GH}[/tex] = [tex]\frac{7}{GH}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )

GH = 7[tex]\sqrt{2}[/tex]