Find the lateral edge $ e $ of a pyramid if side $a = 1.57$ and slant height $s = 1.27$.
Answer
$e = 1.493$
Explanation
To find lateral edge $ e $ use Pythagorean Theorem:
$$ s^2 + \frac{ a^2 }{ 4 } = e^2 $$After substituting $ s = 1.27 $ and $ a = 1.57 $ we have:
$$ 1.27^2 + \frac{ 1.57^2 }{ 4 }= e^2 $$ $$ 1.6129 + \frac{ 2.4649 }{ 4 }= e^2 $$ $$ 1.6129 + 0.6162 = e^2 $$ $$ e^2 = 2.2291 $$ $$ e = \sqrt{ 2.2291 } $$$$ e = 1.493 $$This page was created using
Pyramid Calculator