Find the slant height $ s $ of a pyramid if side $a = 24$ and height $h = 9$.
Answer
$s = 15$
Explanation
To find slant height $ s $ use Pythagorean Theorem:
$$ h^2 + \frac{ a^2 }{ 4 } = s^2 $$After substituting $ h = 9 $ and $ a = 24 $ we have:
$$ 9^2 + \frac{ 24^2 }{ 4 }= s^2 $$ $$ 81 + \frac{ 576 }{ 4 }= s^2 $$ $$ 81 + 144 = s^2 $$ $$ s^2 = 225 $$ $$ s = \sqrt{ 225 } $$$$ s = 15 $$This page was created using
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