A polygon has 44 diagonals, the number of its sides is
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Answered by
23
44 = n(n-3)/2
solving for n
n^2-3n -88 = 0
factoring
(n-11)(n+8) = 0
(n+8) = 0
n = -8 cannot use this
(n-11)=0
n = 11
Polygon has 11 sides
checking our answer
11*8/2 = 44 diagonals
solving for n
n^2-3n -88 = 0
factoring
(n-11)(n+8) = 0
(n+8) = 0
n = -8 cannot use this
(n-11)=0
n = 11
Polygon has 11 sides
checking our answer
11*8/2 = 44 diagonals
Answered by
0
Answer:
9
Step-by-step explanation:
hopes it helps thankyou
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