Geometry

Question Analysis

This question focuses on calculating the distance between two points in a 2D coordinate system. The key task is to correctly apply the distance formula.

 

Key Concept Explanation

The distance formula between two points and is , derived from the Pythagorean theorem. The horizontal and vertical displacements between the points form the legs of a right - triangle, and the distance is the hypotenuse.

 

Step - by - Step Solution

1. Given points and , identify , , , .

2. Calculate : .

3. Calculate : .

4. Substitute into the formula:

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