Question

Prove that an equilateral triangle can be constructed on any given line segment

Answer 1

Given - In ∆ABC one side is x cm
Construction - Draw a ∆ABC using following steps -
1) Draw a line segment AB = x cm
2) Using compass point A is centre and radius x cm draw a arc
3) Using compass assume point B is centre and same radius draw a arc.
4) Both arc is cut this point which name is C
5) Thus we draw a equilateral traingle