Find the side $ a $ of an equilateral triangle if altitude $h = \frac{ 3031 }{ 50 }$.
Answer
$a = \frac{ 3031 \sqrt{ 3}}{ 75 }$
Explanation
To find side $ a $ use formula:
$$ h = \dfrac{ \sqrt{ 3 } \cdot a }{ 2 } $$After substituting $ h = \frac{ 3031 }{ 50 } $ we have:
$$ \frac{ 3031 }{ 50 } = \dfrac{ \sqrt{ 3 } \cdot a }{ 2 } $$ $$ \sqrt{ 3 } \cdot a = \frac{ 3031 }{ 50 } \cdot 2 $$ $$ \sqrt{ 3 } \cdot a = \frac{ 3031 }{ 25 } $$ $$ a = \dfrac{ \frac{ 3031 }{ 25 } }{ \sqrt{ 3 } } $$ $$ a = \frac{ 3031 \sqrt{ 3}}{ 75 } $$This page was created using
Equilateral Triangle Calculator