Question

# Find the value of x and the length of AB if B is the midpoint of AC.

Hint:

### Midpoint is the point which divides the line in two equal parts.

## The correct answer is: x = 2.5

### Step by step explanation:

○ Given:

AB = (2x + 9)

BC = (6x - 1)

○ Step 1:

○ As we know, the midpoint divides the line segment in two equal parts.

So,

As B is midpoint of AC

∴ AB = BC

2x + 9 = 6x - 1

9 + 1 = 6x - 2x

10 = 4x

x =

x = 2.5

- Final Answer:

x = 2.5.

○ Step 1:

○ As we know, the midpoint divides the line segment in two equal parts.

So,

As B is midpoint of AC

∴ AB = BC

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