**Coordinate Geometry: Calculating Distance Between Two Points**In coordinate geometry, calculating the distance between two points, (x1, y1) and (x2, y2), is a fundamental concept. The formula to find this distance is derived from the Pythagorean theorem:\[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} \]**Example:**For example, given the inputs:- \( x1 = 1.0 \)- \( y1 = 2.0 \)- \( x2 = 10.0 \)- \( y2 = 5.0 \)The distance calculation yields:\[ \text{Points distance: } 3.0 \]**Python Code Example:**Below is a Python code snippet to calculate the distance between two points:```pythonimport mathpoint_dist = 0.0x1 = float(input())y1 = float(input())x2 = float(input())y2 = float(input())# The rest of the code would involve calculating the distance using the formula above.```This code snippet prompts the user for input of the coordinates of two points and uses the mathematical function to compute their distance. The code does not show the calculation implementation, which would typically involve using the `math.sqrt` function to apply the formula provided.

Distance between two points can be calculated using the formula: ((x2 – x1)² + (y2 – y1)²)

Assign point dist with the distance between point (x1, y1) and point (x2, y2). The calculation is: Distance = SquareRootOf((x2- + (y2 -y1)? ) Sample output with inputs: 1.0 2.0 1.0 5.0 Points distance: 3.0

Assign point dist with the distance between point (x1, y1) and point (x2, y2). The calculation is: Distance = SquareRootOf((x2- + (y2 -y1)? ) Sample output with inputs: 1.0 2.0 1.0 5.0 Points distance: 3.0

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Question

**Coordinate Geometry: Calculating Distance Between Two Points**

In coordinate geometry, calculating the distance between two points, (x1, y1) and (x2, y2), is a fundamental concept. The formula to find this distance is derived from the Pythagorean theorem:

\[ \text{Distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} \]

**Example:**

For example, given the inputs:
- \( x1 = 1.0 \)
- \( y1 = 2.0 \)
- \( x2 = 10.0 \)
- \( y2 = 5.0 \)

The distance calculation yields:
\[ \text{Points distance: } 3.0 \]

**Python Code Example:**

Below is a Python code snippet to calculate the distance between two points:

```python
import math

point_dist = 0.0

x1 = float(input())
y1 = float(input())
x2 = float(input())
y2 = float(input())

# The rest of the code would involve calculating the distance using the formula above.
```

This code snippet prompts the user for input of the coordinates of two points and uses the mathematical function to compute their distance. The code does not show the calculation implementation, which would typically involve using the `math.sqrt` function to apply the formula provided.

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