Find the slant height $ s $ of a pyramid if side $a = 230$ and height $h = 115$.
Answer
$s = 115 \sqrt{ 2 }$
Explanation
To find slant height $ s $ use Pythagorean Theorem:
$$ h^2 + \frac{ a^2 }{ 4 } = s^2 $$After substituting $ h = 115 $ and $ a = 230 $ we have:
$$ 115^2 + \frac{ 230^2 }{ 4 }= s^2 $$ $$ 13225 + \frac{ 52900 }{ 4 }= s^2 $$ $$ 13225 + 13225 = s^2 $$ $$ s^2 = 26450 $$ $$ s = \sqrt{ 26450 } $$$$ s = 115 \sqrt{ 2 } $$This page was created using
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