Find the diagonal $ d $ of a rectangle if side $a = 90$ and side $b = 80$.
Answer
$d = 10 \sqrt{ 145 }$
Explanation
To find diagonal $ d $ use Pythagorean Theorem:
$$ a^2 + b^2 = d^2 $$After substituting $ a = 90 $ and $ b = 80 $ we have:
$$ 90^2 + 80^2 = d^2 $$ $$ 8100 + 6400 = d^2 $$ $$ d^2 = 14500 $$ $$ d = \sqrt{ 14500 } $$$$ d = 10 \sqrt{ 145 } $$This page was created using
Rectangle Calculator