Question

The number of diagonals of a n sided figure is 1 /2 (n^2-3n). Use the formula to find the number of diagonals of a 6-sided figure (hexagon) ​

Answer 1

Answer:

Step-by-step explanation:

For n≥3, an n-gon has n vertices, labelled 1,2,3,…,n, say. The line joining two non-adjacent vertices (those with labels differing by more than 1, except 1,n) are diagonals; those joining adjacent labels aren’t diagonals. Therefore, the number of diagonals in an n-gon is (n/2)−n=1/2n(n−3)