Question
The line DE is parallel to AC If BC = 18, BE = 6, DC = 16, and AD = 8.Find EC.
- 12
- 18
- 24
- 30
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: 12
Hence, the correct option is D.
It is also called basic proportionality theorem.
Related Questions to study
Find the value of ‘a’.
It is called theorem of parallel lines cut by transversals proportionality.
Find the value of ‘a’.
It is called theorem of parallel lines cut by transversals proportionality.
If line segment AD is an angle bisector and AB=6, AC = 10, and BD = 3, what must DC equal?
Here, the value of DC is 5.
If line segment AD is an angle bisector and AB=6, AC = 10, and BD = 3, what must DC equal?
Here, the value of DC is 5.
Choose the correct statement for the angle bisector theorem to the following triangle.
The base is divided in the same ratio as the sides containing the angle.
Choose the correct statement for the angle bisector theorem to the following triangle.
The base is divided in the same ratio as the sides containing the angle.
Theorem used to find the value of AB in the following figure
Here, AB = 4√2.
Theorem used to find the value of AB in the following figure
Here, AB = 4√2.
To find the value of AB in the figure, which theorem is used?
If two or more parallel lines are cut by two transversals, then they divide the transversals proportionally.
To find the value of AB in the figure, which theorem is used?
If two or more parallel lines are cut by two transversals, then they divide the transversals proportionally.
Which of the statements is true in the case of the given triangle?
The base is divided in the same ratio as the sides containing the angle.
Which of the statements is true in the case of the given triangle?
The base is divided in the same ratio as the sides containing the angle.
To find the value of p, which statements can be used?
Her, the value of p is 43.5.
To find the value of p, which statements can be used?
Her, the value of p is 43.5.
In the figure, to find the value of x which theorem can be used?
Here, the value of x is 10.
In the figure, to find the value of x which theorem can be used?
Here, the value of x is 10.
It is also called basic proportionality theorem.
It is also called basic proportionality theorem.
Find the length of the segment AB
It is also called basic proportionality theorem or Thales' theorem.
Find the length of the segment AB
It is also called basic proportionality theorem or Thales' theorem.
In the given triangle 
then the line segment DE ll AC
It is also called midpoint theorem.
In the given triangle then the line segment DE ll AC
It is also called midpoint theorem.
