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Write the sequence of the number of diagonals in a quadrilateral, pentagon, hexagon etc. What is its algebra? |
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Answer» The number of diagonals in a quadilateral = \(\frac{4\times(4-3)}{2}=2\) The number of diagonals in a pentagon = \(\frac{5\times(5-3)}{2}=5\) The number of diagonals in a hexagon = \(\frac{6\,\times\,3}{2}=9\) The number of diagonals in a n sided = \(\frac{7\,\times\,4}{2}=14\) The number of diagonals in a n sided polygon = \(\frac{n\times(n-3)}{2}=\frac{n(n-3)}{2}\) |
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