Find the side $ a $ of an equilateral triangle if circumcircle radius $R = \frac{ 3081 }{ 50 }$.
Answer
$a = \frac{ 3081 \sqrt{ 3}}{ 50 }$
Explanation
To find side $ a $ use formula:
$$ R = \dfrac{ \sqrt{ 3 } \cdot a }{ 3 } $$After substituting $ R = \frac{ 3081 }{ 50 } $ we have:
$$ \frac{ 3081 }{ 50 } = \dfrac{ \sqrt{ 3 } \cdot a }{ 3 } $$ $$ \sqrt{ 3 } \cdot a = \frac{ 3081 }{ 50 } \cdot 3 $$ $$ \sqrt{ 3 } \cdot a = \frac{ 9243 }{ 50 } $$ $$ a = \dfrac{ \frac{ 9243 }{ 50 } }{ \sqrt{ 3 } } $$ $$ a = \frac{ 3081 \sqrt{ 3}}{ 50 } $$This page was created using
Equilateral Triangle Calculator