In an equilateral triangle STU, inradius is $5\sqrt{3} cm$. What is the length of side this equilateral triangle ?
Answer & explanation
Correct answer: option 3
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