Geometry

Question Analysis

This question involves determining the distance between two points in a two - dimensional coordinate system. The main focus is on the proper application of the distance formula.

 

Key Concept Explanation

The distance formula between two points and is based on the Pythagorean theorem. Consider a right - triangle where the horizontal displacement is and the vertical displacement is . The distance between the two points, which is the length of the hypotenuse, is given by .

 

Step-by-Step Solution

1. Identify the coordinates: Let and .

2. Calculate :

.

3. Calculate :