Find the height $ h $ of a pyramid if side $a = 230$ and slant height $s = 146.314$.
Answer
$h = 90.4588$
Explanation
To find height $ h $ use Pythagorean Theorem:
$$ h^2 + \frac{ a^2 }{ 4 } = s^2 $$After substituting $ a = 230 $ and $ s = 146.314 $ we have:
$$ h ^ {\,2} + \frac{ 230^2 }{ 4 } = 146.314^2 $$ $$ h ^ {\,2} + \frac{ 52900 }{ 4 } = 146.314^2 $$ $$ h ^ {\,2} + 13225 = 146.314^2 $$ $$ h ^ {\,2} = 21407.7866 - 13225 $$ $$ h ^ {\,2} = 8182.7866 $$ $$ h = \sqrt{ 8182.7866 } $$$$ h = 90.4588 $$This page was created using
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