NUMBER OF DIAGONALS DRAWN FOR A POLYGON

Problem 1 :

Find the number of diagonal of the polygon ‘’Triangle’’.

Solution :

Number of sides of triangle = 3

= 3(3 – 3)/2

= 0

So, the number of diagonals for the triangle is 0.

Problem 2 :

Find the number of diagonal of the polygon ‘’Quadrilateral’’.

Solution :

Number of sides of quadrilateral = 4

= 4(4 – 3)/2

= 4/2

= 2

So, the number of diagonals for the quadrilateral is 2.

Problem 3 :

Find the number of diagonal of the polygon ‘’Pentagon’’.

Solution :

Number of sides of pentagon = 5

= 5(5 – 3)/2

= 10/2

= 5

So, the number of diagonals for the pentagon is 5.

Problem 4 :

Find the number of diagonal of the polygon ‘’Hexagon’’.

Solution :

Number of sides of hexagon = 6

= 6(6 – 3)/2

= 18/2

= 9

So, the number of diagonals for the hexagon is 9.

Problem 5 :

Find the number of diagonal of the polygon ‘’Heptagon’’.

Solution :

Number of sides of heptagon = 7

= 7(7 – 3)/2

= 28/2

= 14

So, the number of diagonals for the heptagon is 14.

Problem 6 :

Find the number of diagonal of the polygon ‘’Octagon’’.

Solution :

Number of sides of octagon = 8

= 8(8 – 3)/2

= 40/2

= 20

So, the number of diagonals for the octagon is 20.

Problem 7 :

Find the number of diagonal of the polygon ‘’Nonagon’’.

Solution :

Number of sides of nonagon = 9

= 9(9 – 3)/2

= 54/2

= 27

So, the number of diagonals for the nonagon is 27.

Problem 8 :

Find the number of diagonal of the polygon ‘’Decagon’’.

Solution :

Number of sides of decagon = 10

= 10(10 – 3)/2

= 70/2

= 35

So, the number of diagonals for the decagon is 35.