Question
Find the altitude $ h $ of an equilateral triangle if side $a = 10\, \text{cm}$.
Answer
$5 \sqrt{ 3 }\, \text{cm}$
Explanation
To find height $ h $ use formula:
$$ h = \dfrac{ \sqrt{ 3 } \cdot a }{ 2 } $$After substituting $a = 10\, \text{cm}$ we have:
$$ h = \dfrac{ \sqrt{ 3 } \cdot 10\, \text{cm} }{ 2 } $$$$ h = \dfrac{ 10 \sqrt{ 3 }\, \text{cm} }{ 2 } $$ $$ h = 5 \sqrt{ 3 }\, \text{cm} $$This page was created using
Equilateral Triangle Calculator