📜  寻找三角形质心的程序

📅  最后修改于: 2021-10-23 08:03:54             🧑  作者: Mango

给定三角形的顶点。任务是找到三角形的质心:
例子:

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)

方法:假设一个三角形的顶点是(x1, y1) (x2, y2) (x3, y3) 那么三角形的质心可以从下面的公式中找到:

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

C++
// CPP program to find the centroid of triangle
#include 
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


Javascript


输出:
Centroid = (3.33, -3)