Question
Find the long diagonal $ d $ of a hexagon if short diagonal $s = 5\, \text{cm}$.
Answer
$5.7735\, \text{cm}$
Explanation
STEP 1: find side $ a $
To find side $ a $ use formula:
$$ s = \sqrt{ 3 } \cdot a $$After substituting $s = 5\, \text{cm}$ we have:
$$ 5\, \text{cm} = \sqrt{ 3 } \cdot a $$ $$ a = \dfrac{ 5\, \text{cm} }{ \sqrt{ 3 } } $$ $$ a \approx 2.8868\, \text{cm} $$STEP 2: find diagonal $ d $
To find diagonal $ d $ use formula:
$$ d = 2 \cdot a $$After substituting $a = 2.8868\, \text{cm}$ we have:
$$ d = 2 \cdot 2.8868\, \text{cm} $$ $$ d \approx 5.7735\, \text{cm} $$This page was created using
Hexagon Calculator