Find the side $ a $ of a rectangle if side $b = 500$ and diagonal $d = 1100$.
Answer
$a = 400 \sqrt{ 6 }$
Explanation
To find side $ a $ use Pythagorean Theorem:
$$ a^2 + b^2 = d^2 $$After substituting $ b = 500 $ and $ d = 1100 $ we have:
$$ a ^ {\,2} + 500^2 = 1100^2 $$ $$ a ^ {\,2} = 1100^2 - 500^2 $$ $$ a ^ {\,2} = 1210000 - 250000 $$ $$ a ^ {\,2} = 960000 $$ $$ a = \sqrt{ 960000 } $$$$ a = 400 \sqrt{ 6 } $$This page was created using
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