Question

The number of diagonal of 12 sided polygon are?

Answer 1

The answer is 54

I hope it will help u

Answer 2

We know that,

the number of distinct diagonals that can be drawn in a dodecagon from all its vertices. We will use the formula to get the number of diagonals of the polygon having n sides, where n is the number of sides = 12 (given).

$\sf \: \dfrac{1}{2} \times n \times (n - 3)$

Substituting the value of n = 12, we will get,

$\sf \: \dfrac{1}{2} \times 12 \div (12 - 3)$

Now Simplify,

$\sf \: 6 \times (9)$

Removing the brackets, we will get,

$\text6 \times 9 = 54$

∴ Hence, there are 54 diagonals in a polygon having 12 sides.

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