Question

The length of diagonal of square is $\sqrt{2}(6+2\sqrt{5})$cm. Then find the length of a side of the square.

Answer 1

Length of diagonal of a square $=\sqrt{2}(6+2\sqrt{5})$

But, length of side of a square $=\frac{\text{diagonal of a square}}{\sqrt{2}}$

$=\frac{\sqrt{2}(6+2\sqrt{5})}{\sqrt{2}}$

$=(6+2\sqrt{5})cm$

Hence, side of square $=(6+2\sqrt{5})cm$.