Find the side $ a $ of an equilateral triangle if circumcircle radius $R = 12$.
Answer
$a = 12 \sqrt{ 3 }$
Explanation
To find side $ a $ use formula:
$$ R = \dfrac{ \sqrt{ 3 } \cdot a }{ 3 } $$After substituting $ R = 12 $ we have:
$$ 12 = \dfrac{ \sqrt{ 3 } \cdot a }{ 3 } $$ $$ \sqrt{ 3 } \cdot a = 12 \cdot 3 $$ $$ \sqrt{ 3 } \cdot a = 36 $$ $$ a = \dfrac{ 36 }{ \sqrt{ 3 } } $$ $$ a = 12 \sqrt{ 3 } $$This page was created using
Equilateral Triangle Calculator