Question

If a wire of length is cut into 3 pieces then then probability that three pieces form a triangle, is

(1) 1/2

(2) 1/4

(3) 2/3

(4) None of these

Answer 1

Correct option is (2) 1/4

Let sides be x, y, -x-y

If x, y, x-y are sides of triangle then x > 0, y > 0, -x-y>0 

and sum of two sides is greater then third side