Prove that an equilateral triangle can be formed on any given line segment.
SOLUTION:
let AB be the given line segment.
Now extend A to C so that line AC is formed and it should be of the same length as AB.
Similarly, extend B to C so that line BC is formed and it should be of the same length as AB and AC.
Now, AB,BC and AC form an equilateral triangle ABC with all the sides equal.
Hence, an equilateral triangle can be formed on any given line segment.
