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.