#### Question

Find the length a diagonal of a rectangle having sides 11 cm and 60 cm.

#### Solution

According to Pythagoras theorem,

In ∆ABC

\[{AB}^2 + {BC}^2 = {AC}^2 \]

\[ \Rightarrow \left( 60 \right)^2 + \left( 11 \right)^2 = {AC}^2 \]

\[ \Rightarrow 3600 + 121 = {AC}^2 \]

\[ \Rightarrow {AC}^2 = 3721\]

\[ \Rightarrow AC = 61 cm\]

Hence, the length of a diagonal of the rectangle is 61 cm.

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Solution Find the Length a Diagonal of a Rectangle Having Sides 11 Cm and 60 Cm. Concept: Apollonius Theorem.