How many diagonals are there in a 14-sided polygon?

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Solution

The correct option is D 77
We know, number of diagonals of a polygon having $n$ side is $\frac{n (n - 3)}{2}$
Here $n = 14$ , Thus required number of diagonals is $= \frac{14 \times 11}{2} = 77$

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In the adjoining figure, ABCD is a quadrilateral.
(i) How many pairs of adjacent sides are there? Name them.
(ii) How many pairs of opposite sides are there? Name them.
(iii) How many pairs of adjacent angles are there? Name them.
(iv) How many pairs of opposite angles are there? Name them.
(v) How many diagonals are there? Name them.

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How many diagonals are there in a 14-sided polygon?

The correct option is D 77We know, number of diagonals of a polygon having n side is n(n−3)2Here n=14, Thus required number of diagonals is =14×112=77

The correct option is D 77
We know, number of diagonals of a polygon having $n$ side is $\frac{n (n - 3)}{2}$
Here $n = 14$ , Thus required number of diagonals is $= \frac{14 \times 11}{2} = 77$