Find the slant height $ s $ of a pyramid if side $a = 1$ and height $h = 1$.
Answer
$s = \frac{\sqrt{ 5 }}{ 2 }$
Explanation
To find slant height $ s $ use Pythagorean Theorem:
$$ h^2 + \frac{ a^2 }{ 4 } = s^2 $$After substituting $ h = 1 $ and $ a = 1 $ we have:
$$ 1^2 + \frac{ 1^2 }{ 4 }= s^2 $$ $$ 1 + \frac{ 1 }{ 4 }= s^2 $$ $$ 1 + \frac{ 1 }{ 4 } = s^2 $$ $$ s^2 = \frac{ 5 }{ 4 } $$ $$ s = \sqrt{ \frac{ 5 }{ 4 } } $$$$ s = \frac{\sqrt{ 5 }}{ 2 } $$This page was created using
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