AP EAMCET · Maths · Permutation Combination
If the number of diagonals of a regular polygon is 35, then the number of sides of the polygon is
- A 12
- B 9
- C 10
- D 11
Answer & Solution
Correct Answer
(C) 10
Step-by-step Solution
Detailed explanation
\(D = \frac{n(n-3)}{2}\) \(35 = \frac{n(n-3)}{2}\) \(n^2 - 3n - 70 = 0\) \((n-10)(n+7) = 0\) \(n = 10\)
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