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Q.

The number of diagonals in a polygon of n sides is:


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a

n n−2 2  

b

n n−3 2  

c

n n−4 2  

d

n n−5 2    

answer is B.

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Detailed Solution

We need to find the number of diagonals in a polygon of n sides.
Number of diagonals of polygons having n sides = n n −1 2 − n  .
Simplifying,
⇒ n n −1 2 −  n 1   ⇒ n n −1 2 −  2×n 1×2   ⇒ n n −1 2 −  2n 2   ⇒ n n −1 −2n 2   ⇒ n n−1−2 2   ⇒ n n−3 2  
Therefore, the number of diagonals in a polygon of side n is n n−3 2  .
Hence, option 2 is correct.
 
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