Find the side $ a $ of an equilateral triangle if area $A = 4$.
Answer
$a = 3.0393$
Explanation
To find side $ a $ use formula:
$$ A = \dfrac{ \sqrt{ 3 } \cdot a^2 }{ 4 }$$After substituting $ A = 4 $ we have:
$$ 4 = \dfrac{ \sqrt{ 3 } \cdot a^2 }{ 4 }$$ $$ 4 \cdot 4 = \sqrt{ 3 } \cdot a^2 $$ $$ 16 = \sqrt{ 3 } \cdot a^2 $$ $$ a^2 = \dfrac{ 16 }{ \sqrt{ 3 } } $$ $$ a^2 = \frac{ 16 \sqrt{ 3}}{ 3 } $$ $$ a = \sqrt{ \frac{ 16 \sqrt{ 3}}{ 3 } } $$$$ a \approx 3.0393 $$This page was created using
Equilateral Triangle Calculator