Question

The expression for the number of diagonals that we can make from one vertex of a n sided polygon is​

Answer 1

`(n(n-3))/(2)`

Explanation:

Polygon Diagonals are a pattern that follows a specific rule which can be used through a specific formula. Remember that Math focuses on patterns to create equations that help to study them, and this case is not an exception.

The equation for polygon diagonals is

`(n(n-3))/(2)`

Where
`n` refers to the number of sides of the polygon.

You see, a diagonal is defined as the union between two non-consecutive vertices. For a convex n-sided polygon, there are going to be n vertices, and we can draw
`n-3` from each vertex, then we multiply this by
`n`, because that's the total number of sides.

In the end, we divide by 2, because with the method described, we will have double number of diagonals.