If a polygon of $n$ sides has 275 diagonals. then $n$ is
If a polygon of $n$ sides has 275 diagonals. then $n$ is
- $25$
- $35$
- $20$
- $15$
Solution
Let $n$ be the number of sides then
Number of diagonals $=\frac{n(n-3)}{2} \Rightarrow 275=\frac{n(n-3)}{2}$
$\Rightarrow n=25$
Asked in: AP EAMCET 2024 (20 May Shift 1)
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