NIMCET 2011 Question Paper with solutions

Question : 21 of 120

Marks: +1, -0

A polygon has 44 diagonals, the number of its sides is

Solution:

Let a polygon has

n

sides.

∴ { }^{n} C_{2}-n=44

⇒ {n(n-1)}/{2}-n=44

⇒ n(n-3)=88

⇒ n(n-3)=11(11-3) ⇒ n=11

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