Tick (✓) the correct answer:

Question:

Tick (✓) the correct answer:

How many diagonals are there in a polygon having 12 sides?

(a) 12

(b) 24

(c) 36

(d) 54

Solution:

(d) 54

For an n-sided polygon:

Number of diagonals $=\frac{n(n-3)}{2}$

$\therefore n=12$

$\Rightarrow \frac{12(12-3)}{2}=54$

 

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