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?

(In reply to Trigonometry? by levik)

In that equation, you know the 30 degree angle (MAO), and a 90 degree angle (AMO), therefore also a 60 degree angle (MOA). You also have the one side, which will give you the other two sides.
With all three angles, and one side, you can use a couple different equations.
Also, the hypoteneuse[sp?] is not the radius of the circle. The shortest side of the triangle MAO is the radius, the mid-sized line is the one at 3 cm. The hypoteneuse[sp?] is useless for anything other than helping to find the radius. If you use it at all.

Posted by Half-Mad on 2002-06-03 19:18:09