STEP 1: find side $ a $

To find side $ a $ use formula:

$$ P = 3 \cdot a $$

After substituting $P = 44\, \text{cm}$ we have:

$$ 44\, \text{cm} = 3 \cdot a $$ $$ a = \dfrac{ 44\, \text{cm} }{ 3 } $$ $$ a = \frac{ 44 }{ 3 }\, \text{cm} $$

STEP 2: find height $ h $

To find height $ h $ use formula:

$$ h = \dfrac{ \sqrt{ 3 } \cdot a }{ 2 } $$

After substituting $a = \dfrac{ 44 }{ 3 }\, \text{cm}$ we have:

$$ h = \dfrac{ \sqrt{ 3 } \cdot \frac{ 44 }{ 3 }\, \text{cm} }{ 2 } $$$$ h = \dfrac{ \frac{ 44 \sqrt{ 3}}{ 3 }\, \text{cm} }{ 2 } $$ $$ h = \frac{ 22 \sqrt{ 3}}{ 3 }\, \text{cm} $$

Equilateral Triangle Calculator