If a square of area $$\frac{\text{A}}{2}$$ is cut off from a given square of are

Question

If a square of area $$\frac{\text{A}}{2}$$ is cut off from a given square of area A, then the ratio of diagonal of the cut off square to that of the given square is :

Options:

A . 1 : 5

B . 1 : $$2\sqrt 5 $$

C . 1 : $$\sqrt 5 $$

D . 1 : $$\sqrt 2 $$

Answer: Option D

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