Find the diagonal $ d $ of a rectangle if side $a = 8$ and side $b = 6 \sqrt{ 5 }$.
Answer
$d = 2 \sqrt{ 61 }$
Explanation
To find diagonal $ d $ use Pythagorean Theorem:
$$ a^2 + b^2 = d^2 $$After substituting $ a = 8 $ and $ b = 6 \sqrt{ 5 } $ we have:
$$ 8^2 + \left(6 \sqrt{ 5 }\right)^2 = d^2 $$ $$ 64 + 180 = d^2 $$ $$ d^2 = 244 $$ $$ d = \sqrt{ 244 } $$$$ d = 2 \sqrt{ 61 } $$This page was created using
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