Question

A convex polygon has $44$ diagonals. Hwo many sides does it have?
(clue : No. of diagonals in a covex polygon $=n(n-3)/2$; where $n=$ sides in the polygon)

Answer 1

$\frac{n(n-3)}{2}=44$

$\Rightarrow n(n-3)=88$

$\Rightarrow n=11$