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Question 56
Three boys are standing on a circular boundary of a fountain. They are at a equal distance from each other. If the radius of the boundary is 5m, the shortest distance between any two boys is
Solution
Radius of circle at centre O = 5 m and the triangle formed is an equilateral triangle.
Let side of triangle be $$s=?$$
O is the centroid of the triangle dividing $$a:h=2:1$$
=> $$h=2.5$$ m
=> $$tan(30^\circ)=\frac{h}{\frac{s}{2}}$$
=> $$\frac{1}{\sqrt3}=\frac{5}{s}$$
=> $$s=5\sqrt3$$ m
=> Ans - (B)
