Find the side $ a $ of a hexagon if incircle radius $r = 85$.
Answer
$a = \frac{ 170 \sqrt{ 3}}{ 3 }$
Explanation
To find side $ a $ use formula:
$$ r = \dfrac{ \sqrt{ 3 } \cdot a }{ 2 } $$After substituting $ r = 85 $ we have:
$$ 85 = \dfrac{ \sqrt{ 3 } \cdot a }{ 2 } $$ $$ \sqrt{ 3 } \cdot a = 85 \cdot 2 $$ $$ \sqrt{ 3 } \cdot a = 170 $$ $$ a = \dfrac{ 170 }{ \sqrt{ 3 } } $$ $$ a = \frac{ 170 \sqrt{ 3}}{ 3 } $$This page was created using
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