Sunday, December 11, 2011

A polygon with 43 sides has how many diagonals?

As per Jacob S . If you consider one corner of the polygon it can't join to itself or the two adjacent corners with a diagonal . so it joins to 43 - 3 corners. This is true for all 43 corners. However each diagonal is counted twice as each diagonal joins 2 corners hence 40 x 43 divided by 2 =860

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