Question 44
Alice, Berto, and Carlo are looking for a treasure. They are at the vertices of an equilateral triangle, and the treasure is outside the triangle, $1$ metre from Alice and Berto and $2$ metres from Carlo. How many metres long is the triangle's side?
(A) $\frac2{\sqrt3}$; (B) $\frac{3\sqrt3}{4}$; (C) $\frac{\sqrt3}{2}$; (D) $\frac32$; (E) $\sqrt3$.
(A) $\frac2{\sqrt3}$; (B) $\frac{3\sqrt3}{4}$; (C) $\frac{\sqrt3}{2}$; (D) $\frac32$; (E) $\sqrt3$.