The distance of the points (8,6) from the origin is

Options

A. 8
B. 4
C. 10
D. 6

Answer

To find the distance of the point (8, 6) from the origin (0, 0), we will use the distance formula. The distance \(d\) between two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by:

\[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \]

### Step-by-Step Solution:

1. **Identify the Points**:
- The origin is at the point \( (0, 0) \).
- The given point is \( (8, 6) \).
- Here, \( (x_1, y_1) = (0, 0) \) and \( (x_2, y_2) = (8, 6) \).

2. **Substitute the Coordinates into the Distance Formula**:
- Using the distance formula:
\[ d = \sqrt{(8 - 0)^2 + (6 - 0)^2} \]

3. **Calculate the Differences**:
- Calculate \( (8 - 0) \) and \( (6 - 0) \):
\[ d = \sqrt{(8)^2 + (6)^2} \]

4. **Square the Differences**:
- Now square the values:
\[ d = \sqrt{64 + 36} \]

5. **Add the Squares**:
- Add the squared values:
\[ d = \sqrt{100} \]

6. **Take the Square Root**:
- Finally, take the square root:
\[ d = 10 \]

### Final Answer:
The distance of the point (8, 6) from the origin is **10 units**.