SOLUTION: no.of diagonals a polygon having 'n' sides has 1\2n(n-3) . is there a polygon with 25 diagonals ? is there then find the side.

Algebra ->  Polygons -> SOLUTION: no.of diagonals a polygon having 'n' sides has 1\2n(n-3) . is there a polygon with 25 diagonals ? is there then find the side.       Log On


   

Question 1025273: no.of diagonals a polygon having 'n' sides has 1\2n(n-3) . is there a polygon with 25 diagonals ? is there then find the side.
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for n:
%281%2F2%29n%28n-3%29+=+25 <==> n(n-3) = 50 <==> n%5E2+-+3n-50+=+0
Since this quadratic equation has no solution in whole numbers, there is no polygon with 25 diagonals,