Question

if the polygon of n sides has 1/2n( n-3 ) diagonals. how many sides will a polygon having 65 diagonals? Is there a polygon with 50 diagonals​

Answer 1

Answer:

1/2 n (n−3)=65

n^2-3n=130

n^2-3n-130=0

(n-13)(n+10)=0

n=13,-10

no. of sides=13

1/2 n (n−3)=50

n^2-3n-100=0

n=3+_sqrt(409)/2

which will not give any positive integral value

as n is no. of sides, there is no polygon with 50 diagonals

Step-by-step explanation:

Hope it's helpful.