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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 Law of signs | Comment 13 of 20 |
Basicly, I used the law of signs:
(sin 120/6 cm) = (sin 30/x) => x=(6 sin 30/sin120)
x is aproximatly 3.46 cm, and just so happens to be the radius. d = 2r => d = 2(3.46 cm), about 6.92 cm.
  Posted by Chris on 2003-06-24 02:10:04
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