In equilateral triangle of side $a$, inradius is

In equilateral triangle of side $a$, inradius is
  1. $\dfrac{a}{2\sqrt{3}}$
  2. $\dfrac{a}{\sqrt{3}}$
  3. $\dfrac{a\sqrt{3}}{2}$
  4. $a$

Solution

$r_{\text{in}} = \dfrac{a}{2\sqrt{3}}$.

Asked in: MH-SSC-9

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