Find the side $ b $ of a rectangle if side $a = 92$ and diagonal $d = 100$.
Answer
$b = 16 \sqrt{ 6 }$
Explanation
To find side $ b $ use Pythagorean Theorem:
$$ a^2 + b^2 = d^2 $$After substituting $ a = 92 $ and $ d = 100 $ we have:
$$ 92^2 + b^2 = 100^2 $$ $$ b^2 = 100^2 - 92^2 $$ $$ b^2 = 10000 - 8464 $$ $$ b^2 = 1536 $$ $$ b = \sqrt{ 1536 } $$$$ b = 16 \sqrt{ 6 } $$This page was created using
Rectangle Calculator