Question

How many diagonals are there in convex pentagon

Answer 1

Step-by-step explanation:

For a convex n-sided polygon, there are n vertices, and from each vertex you can draw n-3 diagonals, so the total number of diagonals that can be drawn is n(n-3).

Answer 2

The number of diagonals in a polygon = n(n-3)/2, where n is the number of polygon sides.

The number of diagonals in a polygon = n(n-3)/2, where n is the number of polygon sides.For a convex n-sided polygon, there are n vertices, and from each vertex you can draw n-3 diagonals, so the total number of diagonals that can be drawn is n(n-3). However, this would mean that each diagonal would be drawn twice, (to and from each vertex), so the expression must be divided by 2.

The number of diagonals in a polygon = n(n-3)/2, where n is the number of polygon sides.For a convex n-sided polygon, there are n vertices, and from each vertex you can draw n-3 diagonals, so the total number of diagonals that can be drawn is n(n-3). However, this would mean that each diagonal would be drawn twice, (to and from each vertex), so the expression must be divided by 2.