Find the side $ a $ of a pyramid if height $h = 15.4$ and slant height $s = 17$.
Answer
$a = 14.4$
Explanation
To find side $ a $ use Pythagorean Theorem:
$$ h^2 + \frac{ a^2 }{ 4 } = s^2 $$After substituting $ h = 15.4 $ and $ s = 17 $ we have:
$$ 15.4^2 + \frac{ a^2 }{ 4 } = 17^2 $$ $$ \frac{ a^2 }{ 4 } = 17^2 - 15.4^2 $$ $$ \frac{ a^2 }{ 4 } = 289 - 237.16 $$ $$ a^2 = 51.84 \cdot 4 $$ $$ a^2 = 207.36 $$ $$ a = \sqrt{ 207.36 } $$$$ a = 14.4 $$This page was created using
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