Question

If a plugin of 'n' sides has 1/2n(n-3) diagonals. How many sides are there in a polygon with 65 diagonal? Is there a polygon with 50 diagonals? ​

Answer 1

Step-by-step explanation:

The number of diagonals of a polygon is given by n(n-3)/2. n = 13, -10 is not permissible. Hence the polygon has 13 sides. It has no integral roots, so there is no polygon with 50 diagonals.

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