Find the side $ a $ of a pyramid if height $h = 16.8$ and slant height $s = 19.3$.
Answer
$a = 19$
Explanation
To find side $ a $ use Pythagorean Theorem:
$$ h^2 + \frac{ a^2 }{ 4 } = s^2 $$After substituting $ h = 16.8 $ and $ s = 19.3 $ we have:
$$ 16.8^2 + \frac{ a^2 }{ 4 } = 19.3^2 $$ $$ \frac{ a^2 }{ 4 } = 19.3^2 - 16.8^2 $$ $$ \frac{ a^2 }{ 4 } = 372.49 - 282.24 $$ $$ a^2 = 90.25 \cdot 4 $$ $$ a^2 = 361 $$ $$ a = \sqrt{ 361 } $$$$ a = 19 $$This page was created using
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