Question

If a convex polygon has $44$ diagonals, then the number of its sides is

• A. 8
• B. 11
• C. 12
• D. 9

Answer 1

Answer: (B)

$n_{c_2}-n=44$
$\Rightarrow \frac{n(n-1)}{2}-n=44$
$n^2-3n-88=0$,
$n=11,-8$
$\Rightarrow n=11$