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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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Hints/Tips re: solution | Comment 10 of 20 |
(In reply to solution by joy)

Remember that when you draw the altitude, the outside edge of the triangle is no longer 6 cm, but 3 cm.
This edge is opposite the 60° angle, so the length of the hypotenuse is 3 cm/sin 60°, which is equal to 2√3.

You were off by a factor of two I think because you forgot that the 6 cm is not an edge of the 3-60-90 triangle you were considering.
  Posted by DJ on 2003-06-17 17:45:04

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