Find the side $ a $ of an equilateral triangle if circumcircle radius $R = 40$.
Answer
$a = 40 \sqrt{ 3 }$
Explanation
To find side $ a $ use formula:
$$ R = \dfrac{ \sqrt{ 3 } \cdot a }{ 3 } $$After substituting $ R = 40 $ we have:
$$ 40 = \dfrac{ \sqrt{ 3 } \cdot a }{ 3 } $$ $$ \sqrt{ 3 } \cdot a = 40 \cdot 3 $$ $$ \sqrt{ 3 } \cdot a = 120 $$ $$ a = \dfrac{ 120 }{ \sqrt{ 3 } } $$ $$ a = 40 \sqrt{ 3 } $$This page was created using
Equilateral Triangle Calculator