Diagonal Line

Definition of Diagonal Line

The line joining any two non-adjacent vertices of a polygon is called diagonal line.

More About Diagonal Line

    The number of diagonals of a polygon can be calculated using the formula d =  example of  Diagonal Line,
    where S is the number of sides in the polygon.
    The number of diagonals in a polygon with 5 sides =  example of  Diagonal Line = 5.

Example of Diagonal Line

     example of  Diagonal Line
    In the given figure, A and C, B and D are the non-adjacent vertices.
    The line joining any of these pairs of vertices is called diagonal of the figure.
    So, AC and BD are the diagonals of the given figure.

Video Examples: How to Find the Length of a Diagonal Line Running Though a Rectangle : Math Tips


Solved Example on Diagonal Line

Ques: Find the number of diagonals in a regular hexagon.

    Choices:
    A. 9
    B. 6
    C. 12
    D. 3
    Correct Answer: A

Solution:

    Step 1: A regular hexagon has all of its sides and angles congruent.
    Step 2: Draw the diagonals in a regular hexagon.
       example of  Diagonal
    Step 3: 9 diagonals are formed joining the non-adjacent vertices.
    Step 4: So, there are 9 diagonals in a regular hexagon.
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