anonymous
  • anonymous
An equilateral triangle with sides of length 6 is inscribed in a circle. What is the diameter of the circle?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
|dw:1337641995914:dw| because your dealing with a 30-60-90 triangle, you can solve that triangle for r: 3^2 = (3/2)^2 + r^2 solve for r, your radius.
anonymous
  • anonymous
Okay! Thank you! :)
anonymous
  • anonymous
yw... you want an answer verification?

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anonymous
  • anonymous
Yes please!
anonymous
  • anonymous
ok.. tell me what u got an i'll tell you mine...
anonymous
  • anonymous
Well, for the answer to the question, I got 6.9.. Is that right?
anonymous
  • anonymous
i got 3(sqrt3)/2 or about 2.6
anonymous
  • anonymous
hmm... wanna go over the work?
asnaseer
  • asnaseer
6.9 is the correct answer for the diameter
anonymous
  • anonymous
ohh... hahah... thanks @asnaseer ..
asnaseer
  • asnaseer
yw :)
anonymous
  • anonymous
sorry, I meant @octoberchick , your correct... :)
asnaseer
  • asnaseer
btw: I did it in a slightly different way: |dw:1337643034380:dw| bisect one of the angles of the equilateral triangle to get...
asnaseer
  • asnaseer
|dw:1337643091539:dw|
asnaseer
  • asnaseer
then, in the right angled triangle ABC:\[\cos(30)=6/d\]therefore:\[d=6/\cos(30)\]
anonymous
  • anonymous
wow.... isn't it great having to see other methods? and this is still a 30-60-90 triangle so trig functions aren't really needed still. thanks... :)
asnaseer
  • asnaseer
true... :)
anonymous
  • anonymous
and i think that is a lot more clear ^^^... :)

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