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Question 2The...

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Question 2
The number of diagonals in a septagon is
a) 21
b) 42
c) 7
d) 14

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Solution

A diagonal is a line segment joining two opposite corners of a polygon.

Number of diagonals in a polygon = $\frac{n (n - 3)}{2}$
A septagon is a polygon having seven sides.
i.e. n=7
$∴$ Number of diagonals in a septagon = $\frac{7 (7 - 3)}{2}$ = $\frac{7 \times 4}{2}$ = 14

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