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# C program to calculate distance between three points in 3D

Given with the 3-D plane and hence three coordinates and the task is to find the distance between the given points and display the result.

In a three dimension plane there are three axis that are x-axis with its coordinates as (x1, y1, z1), y-axis with its coordinates as (x2, y2, z2) and z-axis with its coordinates as (x3, y3, z). To calculate the distance between them there is a direct formula which is given below

$$\sqrt{\lgroup x2-x1\rgroup^{2}+\lgroup y2-y1\rgroup^{2}+\lgroup z2-z1\rgroup^{2}}$$

**Given below is the diagram representing three different axis and their coordinates**

**Approach used below is as follows** −

- Input the coordinates as (x1, y1, z1), (x2, y2, z2) and (x3, y3, z3)
- Apply the formula to compute the difference between these points
- Print the distance

## Algorithm

Start Step 1-> declare function to calculate distance between three point void three_dis(float x1, float y1, float z1, float x2, float y2, float z2) set float dis = sqrt(pow(x2 - x1, 2) + pow(y2 - y1, 2) + pow(z2 - z1, 2) * 1.0) print dis step 2-> In main() Set float x1 = 4 Set float y1 = 9 Set float z1 = -3 Set float x2 = 5 Set float y2 = 10 Set float z2 = 9 Call three_dis(x1, y1, z1, x2, y2, z2) Stop

## Example

#include <stdio.h> #include<math.h> //function to find distance bewteen 3 point void three_dis(float x1, float y1, float z1, float x2, float y2, float z2) { float dis = sqrt(pow(x2 - x1, 2) + pow(y2 - y1, 2) + pow(z2 - z1, 2) * 1.0); printf("Distance between 3 points are : %f", dis); return; } int main() { float x1 = 4; float y1 = 9; float z1 = -3; float x2 = 5; float y2 = 10; float z2 = 9; three_dis(x1, y1, z1, x2, y2, z2); return 0; }

## Output

IF WE RUN THE ABOVE CODE IT WILL GENERATE FOLLOWING OUTPUT

Distance between 3 points are : 12.083046

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