Find the short diagonal $ s $ of a hexagon if long diagonal $d = 54$.
Answer
$s = 27 \sqrt{ 3 }$
Explanation
STEP 1: find side $ a $
To find side $ a $ use formula:
$$ d = 2 \cdot a $$After substituting $ d = 54 $ we have:
$$ 54 = 2 \cdot a $$ $$ a = \dfrac{ 54 }{ 2 } $$ $$ a = 27 $$STEP 2: find diagonal $ s $
To find diagonal $ s $ use formula:
$$ s = \sqrt{ 3 } \cdot a $$After substituting $ a = 27 $ we have:
$$ s = \sqrt{ 3 } \cdot 27 $$ $$ s = 27 \sqrt{ 3 } $$This page was created using
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