Find the height $ h $ of a pyramid if side $a = 28.2$ and slant height $s = 28.8$.
Answer
$h = 25.1123$
Explanation
To find height $ h $ use Pythagorean Theorem:
$$ h^2 + \frac{ a^2 }{ 4 } = s^2 $$After substituting $ a = 28.2 $ and $ s = 28.8 $ we have:
$$ h ^ {\,2} + \frac{ 28.2^2 }{ 4 } = 28.8^2 $$ $$ h ^ {\,2} + \frac{ 795.24 }{ 4 } = 28.8^2 $$ $$ h ^ {\,2} + 198.81 = 28.8^2 $$ $$ h ^ {\,2} = 829.44 - 198.81 $$ $$ h ^ {\,2} = 630.63 $$ $$ h = \sqrt{ 630.63 } $$$$ h = 25.1123 $$This page was created using
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