Arrange the following steps in correct order, while constructing a triangle ABC, given AB = 6 cm, BC = 8 cm and `angle ABC = 60^(@)`.
Step-1 : With B as a centre, draw an arc of radius 6 cm, which cuts BX at the point A.
Step-2 : At B, draw a ray BX making an angle of `60^(@)` with BC.
Step-3 : Join AC, `Delta ABC` is the required triangle.
Step-4 : Draw a line segment BC of length 8 cm.

Options

A. 4, 1, 2, 3
B. 4, 3, 2, 1
C. 2, 1, 3, 4
D. 4, 2, 1, 3

Answer

To construct triangle ABC with the given measurements AB = 6 cm, BC = 8 cm, and angle ABC = 60°, we need to arrange the steps in the correct order. Here’s the step-by-step solution:

### Step-by-Step Solution:

1. **Step 4**: Draw a line segment BC of length 8 cm.
- Start by using a ruler to measure and draw a line segment BC that is 8 cm long.

2. **Step 2**: At point B, draw a ray BX making an angle of 60° with BC.
- Use a protractor to measure an angle of 60° at point B. Draw a ray BX extending from point B at this angle.

3. **Step 1**: With B as a center, draw an arc of radius 6 cm, which cuts BX at point A.
- Using a compass, set the radius to 6 cm. Place the compass point at B and draw an arc that intersects ray BX. Label the intersection point as A.

4. **Step 3**: Join points A and C to complete triangle ABC.
- Draw a line segment from point A to point C to complete triangle ABC.

### Final Order of Steps:
The correct order of the steps is:
1. Step 4
2. Step 2
3. Step 1
4. Step 3