Question : The length of each side of a triangle is 12 cm. What is the length of the circumradius of the triangle?
Option 1: $8 \sqrt{3} \mathrm{~cm}$
Option 2: $2 \sqrt{3} \mathrm{~cm}$
Option 3: $6 \sqrt{3} \mathrm{~cm}$
Option 4: $4 \sqrt{3} \mathrm{~cm}$
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Correct Answer: $4 \sqrt{3} \mathrm{~cm}$
Solution :
The length of each side of a triangle is 12 cm.
So, it is an equilateral triangle.
$\therefore$ Circumradius of a equilateral triangle $= \frac{\text{Side Length}}{\sqrt{3}} = \frac{12}{\sqrt{3}}= 4\sqrt{3} \mathrm{~cm}$
Hence, the correct answer is $4\sqrt{3} \mathrm{~cm}$.
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