Question
Theorem used to find the value of AB in the following figure
- Triangles proportionality theorem
- Converse proportionality theorem for triangles
- Angle bisector theorem for triangles
- Theorem for parallel lines cut by a transversal in proportion
Hint:
the angle bisector theorem is concerned with the relative lengths of the two segments that a triangle's side is divided into by a line that bisects the opposite angle. It equates their relative lengths to the relative lengths of the other two sides of the triangle.
The correct answer is: Angle bisector theorem for triangles
Angle bisector theorem
So, we can find AB by angle bisector theorem.
Here, AB = 4√2.
Related Questions to study
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.
