Find the height $ h $ of a pyramid if side $a = 2$ and slant height $s = 2.8284$.
Answer
$h = 2.6458$
Explanation
To find height $ h $ use Pythagorean Theorem:
$$ h^2 + \frac{ a^2 }{ 4 } = s^2 $$After substituting $ a = 2 $ and $ s = 2.8284 $ we have:
$$ h ^ {\,2} + \frac{ 2^2 }{ 4 } = 2.8284^2 $$ $$ h ^ {\,2} + \frac{ 4 }{ 4 } = 2.8284^2 $$ $$ h ^ {\,2} + 1 = 2.8284^2 $$ $$ h ^ {\,2} = 8 - 1 $$ $$ h ^ {\,2} = 7 $$ $$ h = \sqrt{ 7 } $$$$ h = 2.6458 $$This page was created using
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