An equilateral triangle of side x is inscribed in a circle of radius y. Which one of the following is correct?
- A. 2y=x
- B. 2y=\sqrt{3}x
- C. \sqrt{3}y=2x
- D. \sqrt{3}y=x ✓
Correct Answer: D. \sqrt{3}y=x
Explanation
The circumradius R of an equilateral triangle of side a is given by R = \frac{a}{\sqrt{3}}. Here, the radius is y and the side is x, so y = \frac{x}{\sqrt{3}}, which rearranges to x = \sqrt{3}y.
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