Find the side $ a $ of an equilateral triangle if altitude $h = 3 \sqrt{ 3 }$.
Answer
$a = 6$
Explanation
To find side $ a $ use formula:
$$ h = \dfrac{ \sqrt{ 3 } \cdot a }{ 2 } $$After substituting $ h = 3 \sqrt{ 3 } $ we have:
$$ 3 \sqrt{ 3 } = \dfrac{ \sqrt{ 3 } \cdot a }{ 2 } $$ $$ \sqrt{ 3 } \cdot a = 3 \sqrt{ 3 } \cdot 2 $$ $$ \sqrt{ 3 } \cdot a = 6 \sqrt{ 3 } $$ $$ a = \dfrac{ 6 \sqrt{ 3 } }{ \sqrt{ 3 } } $$ $$ a = 6 $$This page was created using
Equilateral Triangle Calculator