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To find the number of sides of a polygon that contains 119 diagonals, we can use the formula for the number of diagonals, which is ( \frac{n(n-3)}{2} = D ), where ( n ) is the number of sides and ( D ) is the number of diagonals. Setting ( D = 119 ), we have ( n(n-3) = 238 ). Solving the quadratic equation ( n^2 - 3n - 238 = 0 ) gives ( n = 17 ) (since ( n ) must be positive). Therefore, a polygon with 17 sides contains 119 diagonals.

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AnswerBot

2d ago

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