Question
Find the side $ a $ of an equilateral triangle if altitude $h = 15\, \text{cm}$.
Answer
$10 \sqrt{ 3 }\, \text{cm}$
Explanation
To find side $ a $ use formula:
$$ h = \dfrac{ \sqrt{ 3 } \cdot a }{ 2 } $$After substituting $h = 15\, \text{cm}$ we have:
$$ 15\, \text{cm} = \dfrac{ \sqrt{ 3 } \cdot a }{ 2 } $$ $$ \sqrt{ 3 } \cdot a = 15\, \text{cm} \cdot 2 $$ $$ \sqrt{ 3 } \cdot a = 30\, \text{cm} $$ $$ a = \dfrac{ 30\, \text{cm} }{ \sqrt{ 3 } } $$ $$ a = 10 \sqrt{ 3 }\, \text{cm} $$This page was created using
Equilateral Triangle Calculator