Hi! I have a doubt on heptagons,octagon, nonagon& decagon. How many diagonals do they have? How to draw them?

Answer :

We can use formula to find number of distinct diagonals .

Number of diagonals  of n - sided polygon  = n  n - 3 2

So,

Number of diagonals of heptagon (  We know in heptagon we have 7 sides , So n  =   7 )   =  7  7 - 3 2  = 7 × 42 = 7 × 2   =  14  
And

Number of diagonals of octagon (  We know in octagon we have 8 sides , So n  =  8 )   =  8 8 - 3 2  = 8 × 52 = 4 × 5   =  20
And

Number of diagonals of nonagon (  We know in nonagon we have 9 sides , So n  = 9 )   =  9 9 - 3 2  = 9 × 62 = 9 × 3   =  27
And

Number of diagonals of decagon (  We know in decagon we have 10 sides , So n  =  10 )   =  10 10 - 3 2  = 10 × 72 = 5 ×  7   =  35
And

We can draw these diagonals by joining each non consecutive vertices.

Here we have draw diagonals of heptagon , As :

You can try to draw diagonals  for different polygon by yourself and if still have any doubt , Kindly get back to us so we can help you precisely  .

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