Find the height $ h $ of a pyramid if side $a = 4$ and slant height $s = 4.5$.
Answer
$h = 4.0311$
Explanation
To find height $ h $ use Pythagorean Theorem:
$$ h^2 + \frac{ a^2 }{ 4 } = s^2 $$After substituting $ a = 4 $ and $ s = 4.5 $ we have:
$$ h ^ {\,2} + \frac{ 4^2 }{ 4 } = 4.5^2 $$ $$ h ^ {\,2} + \frac{ 16 }{ 4 } = 4.5^2 $$ $$ h ^ {\,2} + 4 = 4.5^2 $$ $$ h ^ {\,2} = 20.25 - 4 $$ $$ h ^ {\,2} = 16.25 $$ $$ h = \sqrt{ 16.25 } $$$$ h = 4.0311 $$This page was created using
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