Find the slant height $ s $ of a pyramid if side $a = 5$ and height $h = 1.5$.
Answer
$s = 2.9155$
Explanation
To find slant height $ s $ use Pythagorean Theorem:
$$ h^2 + \frac{ a^2 }{ 4 } = s^2 $$After substituting $ h = 1.5 $ and $ a = 5 $ we have:
$$ 1.5^2 + \frac{ 5^2 }{ 4 }= s^2 $$ $$ 2.25 + \frac{ 25 }{ 4 }= s^2 $$ $$ 2.25 + \frac{ 25 }{ 4 } = s^2 $$ $$ s^2 = 8.5 $$ $$ s = \sqrt{ 8.5 } $$$$ s = 2.9155 $$This page was created using
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