In an equilateral triangle STU, inradius is $5\sqrt{3} cm$. What is the length of side this equilateral triangle ?

$20\sqrt{3}cm$ $18\sqrt{3}cm$ 30 cm 24 cm

30 cm

We know that, The inradius of the equilateral triangle = \(\frac{side}{2\sqrt {3}}\)  $5\sqrt{3}$ = \(\frac{side}{2\sqrt {3}}\) side =  $5\sqrt{3}$ × $2\sqrt {3}$ = 30 cm