Find the altitude $ h $ of an equilateral triangle if side $a = \frac{ 5 }{ 2 }$.
Answer
$h = \frac{ 5 \sqrt{ 3}}{ 4 }$
Explanation
To find height $ h $ use formula:
$$ h = \dfrac{ \sqrt{ 3 } \cdot a }{ 2 } $$After substituting $ a = \frac{ 5 }{ 2 } $ we have:
$$ h = \dfrac{ \sqrt{ 3 } \cdot \frac{ 5 }{ 2 } }{ 2 } $$$$ h = \dfrac{ \frac{ 5 \sqrt{ 3}}{ 2 } }{ 2 } $$ $$ h = \frac{ 5 \sqrt{ 3}}{ 4 } $$This page was created using
Equilateral Triangle Calculator