Question

a polygon has 44 diagonals.find the no. of sied of polygon..?​

Answer 1

Answer:

11 sides

Step-by-step explanation:

Number of diagonals = n(n - 3) / 2 where n is the number of sides.

Since we are given that there are 44 diagonals:

n(n - 3) / 2 = 44

Solve n:

n(n - 3) / 2 = 44

n (n - 3) = 88

n² - 3n = 88

n² - 3n - 88 = 0

(n - 11)(n + 8)  = 0

n = 11 or n = -8 (rejected, since number of sides cannot be negative)

Answer: There are 11 sides