A polygon has 44 diagonals, The number of its sides is

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A 11
Number of diagonals in a polygon $= \frac{n (n - 3)}{2}$
$⟹ 44 = \frac{n (n - 3)}{2}$
$⟹ n^{2} - 3 n - 88 = 0$
$⟹ (n - 11) (n - 8) = 0$
$⟹ n = 11$ or $n = - 8$
Therefore, number of sides in a polygon $= 11.$
Hence, A is the correct option.

Suggest Corrections

Similar questions

44

44

44

If a polygon has 44 diagonals, then the number of its sides are

Join BYJU'S Learning Program