Question

# AB = x + 5, BD = 12, AC = 3x + 1, and CF = 15. Find the value of *x* if ABC is a triangle and BC ll DF.

- x= 3
- x=6
- x=9
- x=12

Hint:

### If a line is drawn parallel to any one side of a triangle so that it intersects the other two sides in two distinct points, then the other two sides of the triangle are divided in the same ratio.

## The correct answer is: x=6

Hence, the correct option is A.

It is also called basic proportionality theorem.

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