By Mansi Yadav

Verified by Ajay Kumar

How many diagonals are there in a regular pentagon?

  1. 5

  2. 7

  3. 10

  4. 15

Answer: A

Solution

Solution: The number of diagonals of an n-sided polygon is \(\frac{n(n-3)}{2}\). For a pentagon, n = 5. Therefore, \(\frac{5(5-3)}{2}=\frac{5\times2}{2}=5\). Trick: Use the diagonal formula \(n(n-3)/2\).

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