Question

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

Answer 1

Answer:

$\frac{n(n-3)}{2}$

Step-by-step 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

$\frac{n(n-3)}{2}$

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.