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Statement - I : Let the side DE of a tri...

Statement - I : Let the side DE of a triangle
DEF be divided at S so that
`(DS)/(DE)=(1)/sqrt(2)` . If a line through
S parallel to EF meets DF at
T, then the area of triangle
DEF is twice the area of the
triangle DST.
Statement - II : The areas of the similar
triangles are proportional to
the squares on the
corresponding sides.
Which one of the following is correct in
respect of the above statements ?

A

Both statement - I and statement-II are
true and statement -II is the correct
explanation of statement - I

B

Both statement-I and statement - II are
true but statement - II is not the correct
explanation of statement - I

C

Statement - I is true, but statement -II is false

D

Statement - II is true, but statement - I is false

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