Question
Find the incircle radius $ r $ of an equilateral triangle if side $a = 48\, \text{cm}$.
Answer
$8 \sqrt{ 3 }\, \text{cm}$
Explanation
To find incircle radius $ r $ use formula:
$$ r = \dfrac{ \sqrt{ 3 } \cdot a }{ 6 } $$After substituting $a = 48\, \text{cm}$ we have:
$$ r = \dfrac{ \sqrt{ 3 } \cdot 48\, \text{cm} }{ 6 } $$$$ r = \dfrac{ 48 \sqrt{ 3 }\, \text{cm} }{ 6 } $$ $$ r = 8 \sqrt{ 3 }\, \text{cm} $$This page was created using
Equilateral Triangle Calculator