[font=Tahoma, sans-serif][color=#000000]Modify your construction to answer the following questions:[/color][/font][br][list][*][font=Tahoma, sans-serif][b][color=#000000]1. Can the circumcenter of a triangle lie outside the triangle? If yes,[br] for which types of triangles is this true?[/color][/b][/font][br][/*][/list][font=Tahoma, sans-serif][color=#000000]Yes, for scalene triangles.[/color][/font][br][br][list][*][font=Tahoma, sans-serif][color=#000000][b]2. Try to find an explanation for using line bisectors in order to[br] create the circumcenter of a triangle[/b][/color][/font] [list][font=Tahoma, sans-serif][color=#000000]In an equilateral triangle it is the triangle center.[/color][/font][/list][/*][/list]