Choose the correct answer:In the figure, CD ¯ , AE ¯ , BF ¯   are one third of their respective sides. It follows that A N 2 ¯ : N 2 N 1 ¯ : N 1 D ¯ =3:3:1   and similarly for lines BE and CF. Then the area of triangle N 1 N 2 N 3   is:

# Choose the correct answer:In the figure,   are one third of their respective sides. It follows that   and similarly for lines BE and CF. Then the area of triangle   is:

1. A

2. B

3. C

4. D

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### Solution:

The correct answer is option 3.
Since   lie on  BC, AC and AB respectively

Similarly,

Now,

Accordingly,
For lines BE and CF,

From the equations,

And

From above two equations,

To find the area of triangle

But
The correct answer is option 3.

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