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one math question?


I think answer should be B. What do you think?
Question # 8
A circle is circumscribed about an equilateral triangle of side 'a'. The diameter of the circle is

(A) a v3 (where v3 denotes 'root-3')

(B) a / v3

(C) 2a/ v3

(D) 2 v(3a)

(E) 3 v(a)

Your Answer : B
Actual Answer : C

Explanation
Let R be the circumradius, then,
Area of the triangle = Product of sides of a triangle/4R.
Here, side of equilateral triangle = a. Area of equilateral triangle = 3^½/4 a². Therefore a * a * a/4R = (3^½/4)a². R = a/3^½. Diameter = 2R = 2a/3^½.

Hence (C) is the correct answer
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不是用面积做的,而是利用余弦定理做的,答案是B

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