Question

A polygon is such that when all diagonals from one vertex are drawn, eleven triangles are formed. How many sides does the polygon have?

Answer 1

Let's consider an example using a pentagon (5 sides):

Answer 2

Drawing diagonals from one vertex will give you 3 triangles.

In general, for an \(n\)-gon, splitting up the polygon with this diagonalization will yield \(n-2\) triangles.

Answer 3

number of the diagonals from a vertex of the polygon is three less then the number of the sides... so 11-3=8

Answer 4

^just about to say that :)

Answer 5

im still a lil confused

Answer 6

so itd be 9