Math, asked by AFARZ, 9 days ago

Number of diagonals of polygon which has ( p + 3 ) sides __________.

Answers

Answered by amitnrw
2

Number of diagonals of polygon which has ( p + 3 ) sides  are (p² + 3p)/2

Given :  A polygon with (p + 3)   sides

To Find : number of diagonal

Solution:

A polygon with n sides has  diagonals = (n)(n - 3) /2  

Now its given that number of sides of polygon are (p + 3)

Hence substituting n = p + 3

Number of Diagonals  = (p + 3)(p + 3 - 3)/2

= (p + 3)p/2

=(p² + 3p)/2

Number of diagonals of polygon which has ( p + 3 ) sides  are (p² + 3p)/2

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