The number of diagonals in a convex polygon w | vedclass

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(C) The number of ways to choose $2$ vertices from $n$ vertices is given by $\binom{n}{2}$.This includes the $n$ sides of the polygon.To find the numb

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$\frac{1}{2}n(n - 3)$

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(C) The number of ways to choose $2$ vertices from $n$ vertices is given by $\binom{n}{2}$.This includes the $n$ sides of the polygon.To find the number of diagonals,we subtract the number of sides from the total number of lines formed by connecting any two vertices:$	ext{Number of diagonals} = \binom{n}{2} - n$$= \frac{n(n - 1)}{2} - n$$= \frac{n^2 - n - 2n}{2}$$= \frac{n^2 - 3n}{2}$$= \frac{1}{2}n(n - 3)$

The number of diagonals in a convex polygon with $n$ sides is .....

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