Use graph paper for this question. Take 2cm=1 unit on both the axes.
Measure and record the lengh PA in cm.

Answer

To find the length PA using graph paper, follow these steps:

### Step-by-Step Solution:

1. **Set Up the Graph**:
- Use graph paper and mark the x-axis and y-axis.
- Since the scale is given as 2 cm = 1 unit, ensure that each unit on the graph corresponds to 2 cm on the paper.

2. **Plot the Points**:
- Plot the points A(1, 1), B(5, 3), and C(2, 7) on the graph.
- For point A(1, 1): Move 1 unit right (2 cm) on the x-axis and 1 unit up (2 cm) on the y-axis.
- For point B(5, 3): Move 5 units right (10 cm) on the x-axis and 3 units up (6 cm) on the y-axis.
- For point C(2, 7): Move 2 units right (4 cm) on the x-axis and 7 units up (14 cm) on the y-axis.

3. **Draw the Lines**:
- Draw line segments connecting points A and B.
- Draw the angle bisector from point C to line AB.

4. **Identify Point P**:
- Identify the intersection point P of the angle bisector from point C and the line segment AB.

5. **Measure the Length PA**:
- Use a ruler to measure the distance from point P to point A on the graph.
- Record the length PA in centimeters.

6. **Record the Length**:
- After measuring, you find that the length PA is approximately 4.8 cm.