Respuesta :

prestonshelton
Hello!

To solve this we use the equation sin60 = (s/2) / (d/2)

s is a side of the triangle
d is the diameter

sin60 = s/d

[tex] \sqrt{3/4} =s/d[/tex]

[tex]d=s/ \sqrt{3/4} [/tex]

[tex]d = s \sqrt{4/3} [/tex]

[tex]d = 2s/ \sqrt{3} [/tex]

put 6 in for s

[tex]d=12/ \sqrt{3} [/tex]

[tex]d = \sqrt{48} [/tex]

d = 6.9

The answer is C) 6.9

Hope this helps!

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