Find the side $ a $ of a triangular prism if length $l = 14$ and area $A = 9$.
Answer
$a = 0.3298$
Explanation
To find side $ a $ use formula:
$$ A = \frac{ a^2 \sqrt{3}}{2} + 3 a l $$After substituting $ A = 9 $ and $ l = 14 $ we have:
$$ 9 = \frac{ a^2 \sqrt{3}}{2} + 3 \cdot a \cdot 14 $$$$ 18 = a^2 \sqrt{3} + 54 \cdot a $$$$ a^2 \sqrt{3} + 54 \cdot a - 18 = 0 $$( use quadratic equation solver to solve this quadratic equation )
$$ a = 0.3298 $$This page was created using
Triangular Prism Calculator