CTET PAPER 2 Maths Questions | Number of Diagonals in a Polygon | एक Trick से निकले अपना Answer |

Описание: To determine the number of diagonals in an n-sided polygon, consider that each vertex can be connected to every other vertex except itself and its adjacent vertices. In a polygon with n sides, the formula to find the number of diagonals (D) is given by
n×(n−3)/2
​
. This formula accounts for the fact that each vertex can connect with
n−3 other vertices, and we divide by 2 to avoid counting each diagonal twice.

For example, in a hexagon (6-sided polygon), the number of diagonals would be
6×(6−3)/2=9
​
. It's important to note that triangles (3-sided polygons) have no diagonals, quadrilaterals (4-sided polygons) have 2 diagonals, and so on.

Understanding this formula allows you to efficiently find the number of diagonals for various polygons without drawing each one individually.


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