The answer is 47+46+45+...+1 To work that out quickly, we do (47*48)/2, which is 1128.
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0.5*(25-15) = 5 diagonals
Number of diagonals = 1/2*(n2-3n) where n = the number of sides of the polygon.
1/2*(n2-3n) = number of diagonals where n is the number of sides of the polygon.
5
Number of sides minus two equals number of diagonals drawn from one vertex.