SOLUTION: How many diagonals does a regular n-gon have? What are some steps I can take when trying to find the answer to the questions, like ways to approach it?

Question 265363: How many diagonals does a regular n-gon have?

What are some steps I can take when trying to find the answer to the questions, like ways to approach it?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
How many diagonals does a regular n-gon have?
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The n-gon will have n vertices.
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Every pair of vertices determines a line segment.
You have nC2 = n(n-1)/2 pairs of vertices.
So you have n(n-1)/2 line segments determined.
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n of those line segments are sides of the n-gon.
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So the number of diagonals is [n(n-1)/2] - n
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Cheers,
Stan H.
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