Maths-

General

Easy

Question

# Find the value of x. Identify the theorem used to find the answer.

Hint:

- Perpendicular bisector theorem
- According to perpendicular bisector theorem, in the triangle, any point on perpendicular bisector is at equal distance from both end points of the line segment on which it is drawn.

## The correct answer is: Hence, x = 2.

### Answer:

- Step by step explanation:
- Given:

AB = 2x.

AC = 4x – 4

AD is perpendicular bisector at BC.

- Step 1:
- In

AD is perpendicular bisector.

A is point on AD

A is equidistant from B and C.

So,

AB = AC

2x = 4x – 4

4 = 4x – 2x

4 = 2x

x = 2

- Final Answer:

Hence, x = 2.

Perpendicular bisector theorem is used.

- Given:

AD is perpendicular bisector at BC.

Perpendicular bisector theorem is used.

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