Find the side $ a $ of a rectangle if side $b = 24$ and diagonal $d = 25$.
Answer
$a = 7$
Explanation
To find side $ a $ use Pythagorean Theorem:
$$ a^2 + b^2 = d^2 $$After substituting $ b = 24 $ and $ d = 25 $ we have:
$$ a ^ {\,2} + 24^2 = 25^2 $$ $$ a ^ {\,2} = 25^2 - 24^2 $$ $$ a ^ {\,2} = 625 - 576 $$ $$ a ^ {\,2} = 49 $$ $$ a = \sqrt{ 49 } $$$$ a = 7 $$This page was created using
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