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Question
Find the length of the diagonal of a rectangle whose sides are 12 cm and 5 cm.
Solution
\[\text{ Using Pythagoras theorem }: \]
\[A D^2 + D C^2 = A C^2 \]
\[ 5^2 + {12}^2 = A C^2 \]
\[25 + 14 = A C^2 \]
\[169 = A C^2 \]
\[AC = \sqrt{169}\]
\[ = 13 cm\]
\[\text{ Thus, length of the diagonal is 13 cm } .\]
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