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Mathematics 8 Online
OpenStudy (goformit100):

How many diagonals are there if the regular convex polygon has n sides ?

OpenStudy (goformit100):

@Numb3r1 @ajprincess

OpenStudy (anonymous):

n sides means n corners. Tell me the squares and I'll fill in more.

OpenStudy (goformit100):

@Numb3r1 @ajprincess

OpenStudy (anonymous):

Fine, but only because I need to go to bed.

OpenStudy (anonymous):

n corners, each of which can create a diagonal with all of the other corners... except the two adjacent ones and itself.

OpenStudy (anonymous):

So we have n(n-3) potential diagonals.

OpenStudy (anonymous):

But wait!

OpenStudy (anonymous):

Each diagonal is being counted twice in that example. You can figure the rest out.

OpenStudy (goformit100):

Thank you sir

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