Find the side $ a $ of a pyramid if height $h = 35$ and slant height $s = 37$.
Answer
$a = 24$
Explanation
To find side $ a $ use Pythagorean Theorem:
$$ h^2 + \frac{ a^2 }{ 4 } = s^2 $$After substituting $ h = 35 $ and $ s = 37 $ we have:
$$ 35^2 + \frac{ a^2 }{ 4 } = 37^2 $$ $$ \frac{ a^2 }{ 4 } = 37^2 - 35^2 $$ $$ \frac{ a^2 }{ 4 } = 1369 - 1225 $$ $$ a^2 = 144 \cdot 4 $$ $$ a^2 = 576 $$ $$ a = \sqrt{ 576 } $$$$ a = 24 $$This page was created using
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