iran-konkur 2015 Q148

iran-konkur · Other · konkur-riazi_1394 Geometric Probability
148- A point is chosen randomly inside an equilateral triangle with side $\sqrt{2\pi\sqrt{3}}$. What is the probability that the distance from this point to each vertex of the triangle is more than 1 unit?
(1) $\dfrac{1}{3}$(2) $\dfrac{1}{2}$(3) $\dfrac{2}{3}$(4) $\dfrac{3}{4}$

\textbf{148-} A point is chosen randomly inside an equilateral triangle with side $\sqrt{2\pi\sqrt{3}}$. What is the probability that the distance from this point to each vertex of the triangle is more than 1 unit?

\begin{tabular}{llll}
(1) $\dfrac{1}{3}$ & (2) $\dfrac{1}{2}$ & (3) $\dfrac{2}{3}$ & (4) $\dfrac{3}{4}$
\end{tabular}

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