Prove that in an n-sided regular polygon, where n ? 3, the number of diagonals is n(n - 3)/2. Triangle 3 sides 0 diagonals Quadrilateral 4 sides 2 diagonals Pentagon 5 sides 5 diagonals Hexagon 6 sides 9 diagonals
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A diagonal is a line segment connecting two non-adjacent vertices in a polygon. This means, for any given vertex, it cannot connect to itself or the two vertices directly next to it, since those connections would form sides of the polygon, not diagonals. Show more…
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