Question
Solve the following examples.
Find the length a diagonal of a rectangle having sides 11 cm and 60cm.
Find the length a diagonal of a rectangle having sides 11 cm and 60cm.
✓
Answer
Let $A B C D$ be a rectangle, with
$A B=C D=60 \mathrm{~cm}$
$B C=D A=11 \mathrm{~cm}$
And $A C$ be a diagonal.
As, $\angle \mathrm{A}=90^{\circ}$
ADC is a right-angled triangle, By Pythagoras Theorem i.e.
$\text { (Hypotenuse }^2=(\text { base })^2+(\text { Perpendicular })^2$
$A C^2=(C D)^2+(D A)^2$
$\Rightarrow A C^2=60^2+11^2$
$\Rightarrow A C^2=3600+121$
$\Rightarrow A C^2=3721$
$\Rightarrow A C=61 \mathrm{~cm}$
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