Find the height $ h $ of a pyramid if side $a = 7.9$ and slant height $s = 10.3$.
Answer
$h = 9.5125$
Explanation
To find height $ h $ use Pythagorean Theorem:
$$ h^2 + \frac{ a^2 }{ 4 } = s^2 $$After substituting $ a = 7.9 $ and $ s = 10.3 $ we have:
$$ h ^ {\,2} + \frac{ 7.9^2 }{ 4 } = 10.3^2 $$ $$ h ^ {\,2} + \frac{ 62.41 }{ 4 } = 10.3^2 $$ $$ h ^ {\,2} + 15.6025 = 10.3^2 $$ $$ h ^ {\,2} = 106.09 - 15.6025 $$ $$ h ^ {\,2} = 90.4875 $$ $$ h = \sqrt{ 90.4875 } $$$$ h = 9.5125 $$This page was created using
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