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Does anyone know of a theorem or equation that will determine how many diagonals a polygon has, without having to do a drawing to see how many there are?

Answer 1

Theodore Abad

#nxx(n-3)/2#

where, n is the number of sides

For example ...

triangle: #3xx(3-3)/2=0# diagonals

pentagon: #5xx(5-3)/2=5# diagonals

Source: https://tutor.hix.ai

hope that helped

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Answer 2
Sadie Adams
Yes, there is a formula to determine the number of diagonals in a polygon without drawing it. The formula is:

[ \text{{Number of diagonals}} = \frac{{n(n-3)}}{2} ]

Where ( n ) represents the number of sides of the polygon.
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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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