Question

# Direction : Among given options only for this figure perpendicular bisector theorem is used.

If BD = 5 units, find AD.

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.

## The correct answer is:

### AB=AC

4x + 4 = 8x – 4

4x = 8

x = 2

AB = 4 2 + 4 = 12

BD = 5 units

AD =

=

=

Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“. T

### Related Questions to study

### Find length of perpendicular bisector of CB

Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“. T

### Find length of perpendicular bisector of CB

Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“. T

Which of the following triangles have the same side lengths?

Which of the following triangles have the same side lengths?

### From the diagram given below, which of the following option is true?

### From the diagram given below, which of the following option is true?

### If the perimeter of a triangle is 100 cm and the length of two sides are 30 cm and 40 cm, the length of the third side will be

### If the perimeter of a triangle is 100 cm and the length of two sides are 30 cm and 40 cm, the length of the third side will be

### Which of the following relation is correct if PQ = PS, PR = PT and ∠QPS = ∠TPR?

### Which of the following relation is correct if PQ = PS, PR = PT and ∠QPS = ∠TPR?

### Identify the rule by which the following triangles are congruent

### Identify the rule by which the following triangles are congruent

### Find the value of angle ABC if AB = BC.

### Find the value of angle ABC if AB = BC.

### From the diagram given below, which is true for two triangles?

### From the diagram given below, which is true for two triangles?

### Find the , and

### Find the , and

### The third side opposite to legs of an isosceles triangle is known as

### The third side opposite to legs of an isosceles triangle is known as

### If triangles ABC and DEF are similar and AB = 4 cm, DE = 6 cm, EF = 9 cm and FD = 12 cm, the perimeter of triangle is,

We know that , perimeter of a triangle is the sum of all sides of a triangle.

### If triangles ABC and DEF are similar and AB = 4 cm, DE = 6 cm, EF = 9 cm and FD = 12 cm, the perimeter of triangle is,

We know that , perimeter of a triangle is the sum of all sides of a triangle.

### Given that ∠A = ∠P and AC = PR. Then, which of the following conditions are true for Δ PQR and Δ ABC to be congruent.

### Given that ∠A = ∠P and AC = PR. Then, which of the following conditions are true for Δ PQR and Δ ABC to be congruent.

### What is the relation between ∠1 and ∠2 if AD = CD?

### What is the relation between ∠1 and ∠2 if AD = CD?

From the diagram given below, we can say that ΔABC and ΔPQR are ___________.

Therefore, according to RHS rule, ΔABC and ΔPQR are congruent.

From the diagram given below, we can say that ΔABC and ΔPQR are ___________.

Therefore, according to RHS rule, ΔABC and ΔPQR are congruent.