In rectangle along x-axis and AB=8 units. Find the co-ordinates of vertices A,B and C.

Answer

To find the coordinates of the vertices A, B, and C of rectangle OABC, where O is the origin, OA is 10 units along the x-axis, and AB is 8 units, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Origin (O)**:
- The origin is the point (0, 0).

2. **Locate Point A**:
- Since OA is 10 units along the x-axis, point A will be at (10, 0).

3. **Determine Point B**:
- Point B is directly above point A, as AB is vertical. Since AB is 8 units long, we move 8 units up from point A.
- The coordinates of point B will be (10, 8).

4. **Locate Point C**:
- Point C is directly above point O (the origin) and is aligned vertically with point B. Since point C shares the same y-coordinate as point B and the same x-coordinate as point O, the coordinates of point C will be (0, 8).

### Final Coordinates:
- O = (0, 0)
- A = (10, 0)
- B = (10, 8)
- C = (0, 8)

### Summary:
The coordinates of the vertices of rectangle OABC are:
- O(0, 0)
- A(10, 0)
- B(10, 8)
- C(0, 8)