Find the long diagonal $ d $ of a hexagon if short diagonal $s = 90$.
Answer
$d = 60 \sqrt{ 3 }$
Explanation
STEP 1: find side $ a $
To find side $ a $ use formula:
$$ s = \sqrt{ 3 } \cdot a $$After substituting $ s = 90 $ we have:
$$ 90 = \sqrt{ 3 } \cdot a $$ $$ a = \dfrac{ 90 }{ \sqrt{ 3 } } $$ $$ a = 30 \sqrt{ 3 } $$STEP 2: find diagonal $ d $
To find diagonal $ d $ use formula:
$$ d = 2 \cdot a $$After substituting $ a = 30 \sqrt{ 3 } $ we have:
$$ d = 2 \cdot 30 \sqrt{ 3 } $$ $$ d = 60 \sqrt{ 3 } $$This page was created using
Hexagon Calculator