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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