Question : If the area of a square is 529 cm2, then what is the length of its diagonal?
Option 1: $23\mathrm{~cm}$
Option 2: $26 \sqrt{3} \mathrm{~cm}$
Option 3: $23 \sqrt{2 } \mathrm{~cm}$
Option 4: $46 \mathrm{~cm}$
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Correct Answer: $23 \sqrt{2 } \mathrm{~cm}$
Solution : Let the side of the square be $a$. The area of a square = 529 cm 2 ⇒ $a^2=529$ $\therefore a =23\ \text{cm}$ Diagonal of a square $= \sqrt2×\text{Side}=23\sqrt{2}\ \text{cm}$ Hence, the correct answer is $23\sqrt{2}\ \text{cm}$.
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