Can we say anything about the existence of a triangle having sidelengths \(3\) \(cm\), \(3\) \(cm\) and \(7\) \(cm\)? Verify your answer by construction.
Answer:
Step - 1: Choose the and the draw a line segment \(AB =\) \(cm\).
Step - 2: With as centre, draw a circle of radius \(3\) \(cm\).
Step - 3: With as centre, draw another circle of radius \(3\) \(cm\).
The two arcs , so the third vertex \(C\) be located.
Thus, a triangle with sides \(3\) \(cm\), \(3\) \(cm\) and \(7\) \(cm\) does not exist.