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A 4-sided polygon has 2 diagonals.

A 5-sided polygon, 5.

6-sided, 9.

By induction, an n-sided polygon has 'n*(n-3)/2' diagonals.

"n" is how many sides a shape has.

so, (7)*(7-3)/2

now we have, 7*4/2

so, 28/2 = 14

Therefore, a 7-sided polygon would have 14 diagonals.

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14y ago

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