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In Figure the line segment XY is parall...

In Figure the line segment XY is parallel to side AC of `DeltaA B C`and it divides the triangle into two parts of equal areas. Find the ratio `(A X)/(A B)`.

A

`sqrt(2) + 1 + sqrt(2)`

B

` 2 - sqrt(2) : 2 `

C

` 1 : sqrt(2)`

D

` 1 : 1 `

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The correct Answer is:
B
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