Question

Distance between points (1,2) and (4,6) is:

• A. 3
• B. 4
• C. 5
• D. 6

Hint:

This formula is just the Pythagorean theorem in disguise. The distance is the hypotenuse of a right-angled triangle with base 3 and height 4. (3-4-5 is a famous Pythagorean triple).

Answer 1

The Correct Option is C

Step 1: Understanding the Concept:
The distance between two points $(x_1, y_1)$ and $(x_2, y_2)$ is found using the distance formula: $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$.
Step 2: Detailed Explanation:
Let $(x_1, y_1) = (1, 2)$ and $(x_2, y_2) = (4, 6)$. $$d = \sqrt{(4 - 1)^2 + (6 - 2)^2}$$ $$d = \sqrt{(3)^2 + (4)^2}$$ $$d = \sqrt{9 + 16} = \sqrt{25}$$ $$d = 5$$
Step 3: Final Answer:
The correct option is (c).