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Program to find the Centroid of the triangle

  • Last Updated : 22 Mar, 2021

Given the vertices of the triangle. The task is to find the centroid of the triangle:
Examples: 
 

Input: A(1, 2), B(3, -4), C(6, -7)
Output: (3.33, -3)

Input: A(6, 2), B(5, -9), C(2, -7)
Output: (6.5, -9)

 

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Approach:Suppose if the vertices of a triangle are (x1, y1) (x2, y2) (x3, y3) then centroid of the triangle can be find from the following formula: 

    $$ X = \frac{x_{1}+x_{2}+x_{3}}{2} $$ $$ Y = \frac{y_{1}+y_{2}+y_{3}}{2} $$

 

C++




// CPP program to find the centroid of triangle
#include <bits/stdc++.h>
using namespace std;
 
// Driver code
int main()
{
    // coordinate of the vertices
    float x1 = 1, x2 = 3, x3 = 6;
    float y1 = 2, y2 = -4, y3 = -7;
 
    // Formula to calculate centroid
    float x = (x1 + x2 + x3) / 3;
    float y = (y1 + y2 + y3) / 3;
 
    cout << setprecision(3);
    cout << "Centroid = "
         << "(" << x << ", " << y << ")";
 
    return 0;
}

Java




// Java program to find the centroid of triangle
import java.util.*;
import java.lang.*;
 
class GFG
{
     
// Driver code
public static void main(String args[])
{
    // coordinate of the vertices
    float x1 = 1, x2 = 3, x3 = 6;
    float y1 = 2, y2 = -4, y3 = -7;
 
    // Formula to calculate centroid
    float x = (x1 + x2 + x3) / 3;
    float y = (y1 + y2 + y3) / 3;
 
    //System.out.print(setprecision(3));
    System.out.println("Centroid = "
        + "(" + x + ", " + y + ")");
}
}
 
// This code is contributed
// by Akanksha Rai(Abby_akku)

Python 3




# Python3 program to find
# the centroid of triangle
 
# Driver code    
if __name__ == "__main__" :
 
    # coordinate of the vertices
    x1, x2, x3 = 1, 3, 6
    y1, y2, y3 = 2, -4, -7
     
    # Formula to calculate centroid
    x = round((x1 + x2 + x3) / 3, 2)
    y = round((y1 + y2 + y3) / 3, 2)
 
    print("Centroid =","(",x,",",y,")")
 
# This code is contributed by ANKITRAI1

C#




// C# program to find the
// centroid of triangle
using System;
 
class GFG
{
     
// Driver code
static public void Main ()
{
 
    // coordinate of the vertices
    float x1 = 1, x2 = 3, x3 = 6;
    float y1 = 2, y2 = -4, y3 = -7;
     
    // Formula to calculate centroid
    float x = (x1 + x2 + x3) / 3;
    float y = (y1 + y2 + y3) / 3;
     
    //System.out.print(setprecision(3));
    Console.Write("Centroid = " +
                  "(" + x + ", " + y + ")");
}
}
 
// This code is contributed
// by RaJ

PHP




<?php
// PHP program to find the
// centroid of triangle
 
// Driver code
 
// coordinate of the vertices
$x1 = 1;
$x2 = 3 ;
$x3 = 6;
$y1 = 2;
$y2 = -4;
$y3 = -7;
 
// Formula to calculate centroid
$x = round(($x1 + $x2 + $x3) / 3, 2);
$y = round(($y1 + $y2 + $y3) / 3, 2);
 
echo "Centroid = " .
     "(" .$x .", " .$y .")";
 
// This code is contributed
// by ChitraNayal
?>

Javascript




<script>
 
// javascript program to find the centroid of triangle
 
// Driver code
 
// coordinate of the vertices
var x1 = 1, x2 = 3, x3 = 6;
var y1 = 2, y2 = -4, y3 = -7;
 
// Formula to calculate centroid
var x = (x1 + x2 + x3) / 3;
var y = (y1 + y2 + y3) / 3;
 
// document.write(setprecision(3));
document.write("Centroid = "
    + "(" + x.toFixed(2) + ", " + y + ")");
 
// This code contributed by shikhasingrajput
</script>
Output: 
Centroid = (3.33, -3)

 




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