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Perimeter of a triangle inscribed in a circle

  1. Mar 3, 2007 #1
    1. The problem statement, all variables and given/known data
    Find the Perimeter of an equilateral triangle inscribed in a circle knowing the radius r.

    2. Relevant equations
    -

    3. The attempt at a solution
    Browsing the web I found that the intersection of the three perpendicular bisectors of a traingle is the center of it's circumscribed circle. Knowing this I proceeded as following: [img=http://img214.imageshack.us/img214/2971/problem1bgc6.th.jpg]
    I think that what I did is correct. However, since I should've been able to solve it with what I already knew I thought that maybe there is another easier solution.

    Thanks.
     

    Attached Files:

  2. jcsd
  3. Mar 4, 2007 #2
    Triangle AOB is isoceles. Just drawing the perpendicular from O to AB get you to the same position as the result you quote ( in fact it demonstrates it)
     
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