Geometry

Question Analysis

This question involves calculating the distance between two given points in a two - dimensional coordinate plane. The main focus is on correctly applying the distance formula.

 

Key Concept Explanation

The distance formula between two points and is derived from the Pythagorean theorem. If we consider the right - triangle formed by the two points, the horizontal side length is and the vertical side length is . The distance between the two points is the length of the hypotenuse, and the formula is .

 

Step-by-Step Solution

1. Identify the values of the coordinates: Let and .

2. Calculate :

.

3. Calculate