Question 47

Mathematics Binomial Theorem Hard

A polygon has 44 diagonals, the number of sides are

(A) 9
(B) 10
(C) 11
(D) 12
View Dynamic Solution & Explanation
Correct Solution: Option C

Step-by-step Solution:

The number of diagonals in a polygon is: \[ ^nC_2 - n = 44 \] \[ \Rightarrow \frac{n(n - 3)}{2} = 44 \] or \[ n = 11 \]