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QUESTION_________________________________Derive the formula for finding the number of diagonals in polygon. ____________________________ Harsh Pratap Singh |
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Answer» We can simply derive using the FOLLOWING MEATHOD:- For each vertex N(VERTICES) you have (n−3) possible vertices to create a diagonal from. Why (n−3)? Because you can't combine with the 2 neighboring vertices and you can't combine with your current vertex. Divide by two because you are counting twice. So you have (n−3)n/2 diagonals. |
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