Find the side $ a $ of an equilateral triangle if circumcircle radius $R = \frac{ 17 }{ 2 }$.
Answer
$a = \frac{ 17 \sqrt{ 3}}{ 2 }$
Explanation
To find side $ a $ use formula:
$$ R = \dfrac{ \sqrt{ 3 } \cdot a }{ 3 } $$After substituting $ R = \frac{ 17 }{ 2 } $ we have:
$$ \frac{ 17 }{ 2 } = \dfrac{ \sqrt{ 3 } \cdot a }{ 3 } $$ $$ \sqrt{ 3 } \cdot a = \frac{ 17 }{ 2 } \cdot 3 $$ $$ \sqrt{ 3 } \cdot a = \frac{ 51 }{ 2 } $$ $$ a = \dfrac{ \frac{ 51 }{ 2 } }{ \sqrt{ 3 } } $$ $$ a = \frac{ 17 \sqrt{ 3}}{ 2 } $$This page was created using
Equilateral Triangle Calculator