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The Triangle (Posted on 2002-06-03) Difficulty: 2 of 5
An equilateral triangle with one side 6cm is inscribed in a circle with its three vertices on the circumference. What is the diameter of the circle?

See The Solution Submitted by Dulanjana    
Rating: 2.6923 (13 votes)

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solution | Comment 9 of 20 |
this one is easy... 4sqrt3
it is all simple geometry, you dont even need trig
conect the vertices to the center of the circle giving you 3 smaller iso triangles adn then draw an altitude to the center of the circle for one of them and you have a simple 30-60-90 right triangle which makes it quite easy to solve for the hypotenues which is also the radius.
  Posted by joy on 2003-06-16 17:57:41
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