Math, asked by somanathsatti2000, 3 months ago

A polygon hos 44 diagonals the number of its sides is​

Answers

Answered by ItzSiddhi3009
6

Answer:

A polygon has 44 diagonals the number of its sides is 11.

Answered by Bella777
3

Answer :

11

Step by step explanation :

Total no of lines from n points is nC²

And total sides of polygon = n

Combination of two points out of n points)-(number of sides that is equal to number of pints i.e n) = Number of diagonals

nC² - n = 44

n(n-1) / 2 - n =44

n² - 3n - 88 = 0

n=11 and −8 (here -8 is not possible)

So it becomes n = 11

Thank you !!!

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