Question 44

Mathematics Basic Geometry Medium

In which of the following regular polygons, the number of diagonal is equal to number of sides?

(A) Pentagon
(B) Square
(C) Octagon
(D) Hexagon
✓ Correct Answer: Option A Verified Solution

📘 Step-by-Step Solution & Detailed Explanation:

Number of diagonals in a polygon \(={ }^{n} C_{2}-n=n\) \[\] \(\Rightarrow{ }^{n} C_{2}=2 n\) \[\] \(\Rightarrow \frac{n(n 1)}{2}=2 n\) or \(n=5\). Thus the polygon is a pentagon.\[\]Choice (a)\[\]

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