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Area of a Triangle in the Cartesian Coordinate System

By , 27 Oct 2012
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Introduction

This is a simple Java class with a method to calculate the area, given the coordinates of the three nodes of the triangle, and a main method to invoke the calcArea method. 

Background

This is a just a class I've implemented in order to solve a problem in CodeCheff.com [ http://www.codechef.com/problems/NICEQUAD ] 

since the other parts of the program are specific only to that problem, I thought to post this generic part -calculating the area of a triangle in a cartesian coordinate system- in Code Project. This is for absolute beginners to help themselves with:

  • Getting input from the user
  • Working with 2D arrays
  • Using methods in Math class
  • Rounding off a decimal number
  • and anything new according to your level as a programmer...  

Using the code 

Nothing complex here. Just compile and run as usual.

/* Author: @TharieHimself */
import java.util.Scanner;
public class Triangle{
	
	public void calcArea(){
	     Scanner scan = new Scanner(System.in);
	     
	     int[][] coordinates = new int[3][2];
	     double[] sides = new double[3];
	     int count = 0;
	     
	     for(int r=0; r<3; r++)
	     {
	    	 for(int c=0; c<2;c++){
	    		 count++;
	    		 System.out.print("Enter Coordinate "+count+": ");
	    		 coordinates[r][c] = scan.nextInt();
	    	 }
	     }
	     
	     for(int i = 0; i<3; i++)
		{
	     sides[i] = Math.sqrt((Math.pow((coordinates[i][0]- coordinates[(i + 1) % 3][0]), 2)) + Math.pow((coordinates[i][1] - coordinates[(i + 1) % 3][1]), 2));
		}
	     
	     double s = (sides[0]+ sides[1]+ sides[2])/2;
	     double area = Math.sqrt(s*(s-sides[0])*(s-sides[1])*(s-sides[2]));
	     
	     /* THIS WILL ROUND OFF THE AREA TO THREE DECIMAL PLACES */
	     double roundOff = Math.round(area * 1000.0) / 1000.0;
	  	     
	     if(area <= 0)
	    	 System.out.println("\nYour Triangle does not exist!");
	     else
	     System.out.println("\nArea of your Triangle is: "+roundOff);
	     
	}

}

Points of Interest  

A formula for calculating the area of a triangle when all sides are known is attributed to two famous mathematicians; Heron of Alexandria and Archimedes!

License

This article, along with any associated source code and files, is licensed under The Code Project Open License (CPOL)

About the Author

Tharindu Wijeratna

Sri Lanka Sri Lanka
No Biography provided
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Comments and Discussions

 
GeneralIt can be done. Pinmemberrhuiden26-Oct-12 11:03 
AnswerRe: It can be done. PinmemberTharindu Wijeratna26-Oct-12 15:41 

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