Show all your work for the full credit 1. what is the smallest side of aabc if za = 60°, zb= 60°,2c -50°? 2. does there exist a triangle with sides 5,5,3? keep in mind that all calculations must be justified on paper. 3. prove that three perpendicular bisectors of sides of a triangle have a common point. hint: consider a point of intersection of two bisectors and show that it is on the third bisector. 4. prove that three angle bisectors of angles of a triangle have a common point. hint: consider a point of intersection of two bisectors and show that it is on the third bisector.