Find the height $ h $ of a pyramid if side $a = 22.2$ and slant height $s = 24.9$.
Answer
$h = 22.289$
Explanation
To find height $ h $ use Pythagorean Theorem:
$$ h^2 + \frac{ a^2 }{ 4 } = s^2 $$After substituting $ a = 22.2 $ and $ s = 24.9 $ we have:
$$ h ^ {\,2} + \frac{ 22.2^2 }{ 4 } = 24.9^2 $$ $$ h ^ {\,2} + \frac{ 492.84 }{ 4 } = 24.9^2 $$ $$ h ^ {\,2} + 123.21 = 24.9^2 $$ $$ h ^ {\,2} = 620.01 - 123.21 $$ $$ h ^ {\,2} = 496.8 $$ $$ h = \sqrt{ 496.8 } $$$$ h = 22.289 $$This page was created using
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