Question 5
Alice, Berto, and Carlo want to bury a treasure at a point equidistant from all three of them. They stand at the vertices of a right triangle with a $30^\circ$ angle and perimeter $6$ metres. How far will the treasure be from each person?
(A) $1$ m; (B) $\frac32$ m; (C) $2$ m; (D) $3-\sqrt3$ m; (E) $3$ m.
(A) $1$ m; (B) $\frac32$ m; (C) $2$ m; (D) $3-\sqrt3$ m; (E) $3$ m.