- #1
maverick280857
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Here's a problem my friend gave me:
The number of points of intersection of diagonals of a n-gon is 70. If no three diagonals are concurrent, find the number of sides of the n-gon.
I believe the answer is 20.
I tried to work out for small values of n to get a feel but that didn't do much good. As n increases so does the number of intersection points but how to set up an expression relating this number to n? Suggestions are appreciated.
Thanks
Vivek
The number of points of intersection of diagonals of a n-gon is 70. If no three diagonals are concurrent, find the number of sides of the n-gon.
I believe the answer is 20.
I tried to work out for small values of n to get a feel but that didn't do much good. As n increases so does the number of intersection points but how to set up an expression relating this number to n? Suggestions are appreciated.
Thanks
Vivek