Question #1966d

1 Answer
Feb 7, 2018

enter image source here

If the number of sides of polygon be #n#, then it will have #n# vertices. The number of line segments that can be drawn to connect a particular vertex with other #(n-1)# vertices will be #(n-1)#. And the number of triangles that can be formed in between two consecutive line segments will be one less than the number of line segments (as shown in figure) .

So the minimum number of triangles needed to form a regular polygon of sides #n# will be #(n-2)#

Hence in case of hexagon it will be #4#

enter image source here