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