Question

Сколько всего диагонвлей можно провести а n угольнике где n больше 3

Answer 1

Все задачи >

Из каждой вершины n-угольника можно провести диагонали ко всем вершинам, кроме самой себя и двух соседних, т.е. n - 3 диагонали. Поскольку каждая диагональ соединяет две вершины, то общее количество диагоналей

Answer 2

Calculating the Number of Diagonals in a Polygon

To calculate the total number of diagonals that can be drawn in a polygon with n sides, where n is greater than 3, we can use the formula:

Total number of diagonals = n(n-3)/2

Let's calculate the number of diagonals using this formula.

Substitute n into the formula: ``` Total number of diagonals = n(n-3)/2 ```

Using the given value of n: ``` n = 6 Total number of diagonals = 6(6-3)/2 Total number of diagonals = 6*3/2 Total number of diagonals = 18/2 Total number of diagonals = 9 ```

So, for a polygon with 6 sides, the total number of diagonals that can be drawn is 9.

Conclusion

For any polygon with n sides, where n is greater than 3, the total number of diagonals that can be drawn can be calculated using the formula: Total number of diagonals = n(n-3)/2.