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Write the number of diagonals of an n-si...

Write the number of diagonals of an n-sided polygon.

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To find the number of diagonals in an n-sided polygon, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Polygon**: An n-sided polygon has n vertices. Each vertex can connect to other vertices to form diagonals. 2. **Choosing Vertices**: To form a diagonal, we need to choose 2 vertices from the n vertices. The number of ways to choose 2 vertices from n is given by the combination formula: \[ ...
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Knowledge Check

  • Find the number of diagonals in an n-sided polygon.

    A
    `n^2`
    B
    `(n(n-3))/(2)`
    C
    `n!`
    D
    `2^n`
  • The number of diagonals in a 27 - sided polygon is

    A
    325
    B
    320
    C
    322
    D
    324
  • Solve the following problems independently of each other Find the number of diagonals in the n-sided polygon

    A
    `^nC_2-n`
    B
    `^nC_2`
    C
    `^nC_2+n`
    D
    `(n(n-3))/2`
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