Question

Find the distance between the points $O(0, 0)$ and $P(3, 4)$.

Hint:

Always use the distance formula: $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$ for coordinate geometry problems.

Answer 1

Step 1: Recall the distance formula.
The distance 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 2: Substitute the given values.
Here, $(x_1, y_1) = (0, 0)$ and $(x_2, y_2) = (3, 4)$
\[ d = \sqrt{(3 - 0)^2 + (4 - 0)^2} = \sqrt{9 + 16} = \sqrt{25} \]
Step 3: Simplify.
\[ d = 5 \]
Step 4: Conclusion.
Hence, the distance between the two points is 5 units.
Correct Answer: 5 units