In rectangle OABC, point O is the origin, `OA=10` units along x-axis and `AB=8` units. Find the co-ordinates of vertices A,B and C.

Explanation

To find the coordinates of the vertices A, B, and C of rectangle OABC, we will follow these steps:

### Step 1: Identify the coordinates of point O
Since point O is the origin, its coordinates are:
\[ O(0, 0) \]

### Step 2: Determine the coordinates of point A
Point A is located 10 units along the x-axis from point O. Therefore, the coordinates of point A are:
\[ A(10, 0) \]

### Step 3: Determine the coordinates of point B
Point B is located 8 units above point A along the y-axis. Since point A has coordinates (10, 0), moving 8 units up means the y-coordinate will change from 0 to 8, while the x-coordinate remains the same. Thus, the coordinates of point B are:
\[ B(10, 8) \]

### Step 4: Determine the coordinates of point C
Point C is directly above point O, at the same x-coordinate as O, which is 0, and the same y-coordinate as point B, which is 8. Therefore, the coordinates of point C are:
\[ C(0, 8) \]

### Summary of Coordinates
- Point O: \( O(0, 0) \)
- Point A: \( A(10, 0) \)
- Point B: \( B(10, 8) \)
- Point C: \( C(0, 8) \)

### Final Answer
The coordinates of vertices A, B, and C are:
- A: \( (10, 0) \)
- B: \( (10, 8) \)
- C: \( (0, 8) \)

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