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OpenStudy (anonymous):
An isosceles triangle is inscribed in a circle of radius R. Find the value of theta that maximizes the area of the triangle.
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OpenStudy (anonymous):
OpenStudy (anonymous):
You can try to put the area in terms of side lengths and theta or you can recognize that converting this to an equilateral triangle (60-60-60) must maximize area, as other choices leave you with narrow triangles. Well, that's not a proof, but now you know where you need to be headed.
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