Find the side $ b $ of a rectangle if side $a = 12$ and diagonal $d = 15$.
Answer
$b = 9$
Explanation
To find side $ b $ use Pythagorean Theorem:
$$ a^2 + b^2 = d^2 $$After substituting $ a = 12 $ and $ d = 15 $ we have:
$$ 12^2 + b^2 = 15^2 $$ $$ b^2 = 15^2 - 12^2 $$ $$ b^2 = 225 - 144 $$ $$ b^2 = 81 $$ $$ b = \sqrt{ 81 } $$$$ b = 9 $$This page was created using
Rectangle Calculator