Respuesta :

Answer:

HG = 2[tex]\sqrt{2}[/tex]

Step-by-step explanation:

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

cos60° = [tex]\frac{1}{2}[/tex] , then

cos60° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{GI}{HG}[/tex] = [tex]\frac{\sqrt{2} }{HG}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

HG = 2[tex]\sqrt{2}[/tex]

gufeliz1965

Use trigonometry.

Angle H = 30 degrees

sin (30) = sqrt{2}/HG

HG = sqrt{2}/sin (30)

HG = 2.8284271248

HG = 2•sqrt{2}