153 diagonals.
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A polygon with 14 diagonals will have 7 sides
There are: 0.5*(682-(3*68)) = 2210 diagonals
A normal convex polygon cannot have 15 diagonals. If it has n sides, it has n*(n-3)/2 diagonals and this is equal to 15 if n = 7.18. However, it is not possible for a polygon to have a fractional side.
5 diagonals * * * * * That is not correct since two of these would be lines joining the vertex to adjacent vertices (one on either side). These are sides of the polygon, not diagonals. The number of diagonals from any vertex of a polygon with n sides is n-3.
Diagonals connect corners of a figure. If you try to connect two corners of a three sided figure, the lines you draw will exactly mimic the sides of the figure. Because of this, a three sided figure has no diagonals.