Find the side $ a $ of a triangular prism if length $l = 21$ and base area $B = 52.5$.
Answer
$a = 11.0111$
Explanation
To find side $ a $ use formula:
$$ B = \dfrac{ \sqrt{ 3 } \cdot a^2 }{ 4 }$$After substituting $ B = 52.5 $ we have:
$$ 52.5 = \dfrac{ \sqrt{ 3 } \cdot a^2 }{ 4 }$$ $$ 52.5 \cdot 4 = \sqrt{ 3 } \cdot a^2 $$ $$ 210 = \sqrt{ 3 } \cdot a^2 $$ $$ a^2 = \dfrac{ 210 }{ \sqrt{ 3 } } $$ $$ a^2 = 121.2436 $$ $$ a = \sqrt{ 121.2436 } $$$$ a \approx 11.0111 $$This page was created using
Triangular Prism Calculator