A polygon has 495 diagonals determine the number of sides
Answers
Answered by
5
Answer:
33 sides
Step-by-step explanation:
The number of diagonals of a polygon is equal to:
d=n(n-3)/2 where n is the number of sides.
So you would say:
495=n(n-3)/2
990=n(n-3)
0=n^2-3n-990
0=(n-33)(n+30)
n=33 or -30
But it cannot equal -30 because a polygon cannot have a negative quantity of sides. So the answer is 33 sides
Answered by
3
diagonal=n(n-3)/2
495=n(n-)/2
990=n^2-3n
0=n^2-3n-990
factorise it and positive will be the answer
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