Find the slant height $ s $ of a pyramid if side $a = 4$ and height $h = 4$.
Answer
$s = 2 \sqrt{ 5 }$
Explanation
To find slant height $ s $ use Pythagorean Theorem:
$$ h^2 + \frac{ a^2 }{ 4 } = s^2 $$After substituting $ h = 4 $ and $ a = 4 $ we have:
$$ 4^2 + \frac{ 4^2 }{ 4 }= s^2 $$ $$ 16 + \frac{ 16 }{ 4 }= s^2 $$ $$ 16 + 4 = s^2 $$ $$ s^2 = 20 $$ $$ s = \sqrt{ 20 } $$$$ s = 2 \sqrt{ 5 } $$This page was created using
Pyramid Calculator