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One vertex of an equilateral triangle is $(2, - 1)$ whose area is $\frac{1}{2 \sqrt{3}}$ .The perpendicular distance from the vertex $(2, - 1)$ to opposite side is

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Correct option is B

In an equilateral triangle, if h is the height of the triangle, then its area is h23. Here,h23=123h2=12h=12 Therefore, the distance from one vertex to the opposite side is 12

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One vertex of an equilateral triangle is 2,−1 whose area is 123 .The perpendicular distance from the vertex 2,−1 to opposite side is

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One vertex of an equilateral triangle is $(2, - 1)$ whose area is $\frac{1}{2 \sqrt{3}}$ .The perpendicular distance from the vertex $(2, - 1)$ to opposite side is