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ABC and DEF are similar triangles. If th...

ABC and DEF are similar triangles. If the ratio of side AB to side DE is `(sqrt(2)+1):sqrt(3)`, then the ratio of area of triangle ABC to that of triangle DEF is

A

`(3-2sqrt(2)):3`

B

`(9-6sqrt(2)):2`

C

`1: (9-6sqrt(2))`

D

`(3+2sqrt(2)):2`

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