/*  Name:  Richard Fox
    Class:  CSC 260.002
    Date:  8/17/16
*/

import java.util.*;		

public class RightTriangle1
{
	public static void main(String[] args)
	{
		int p1x, p1y, p2x, p2y, p3x, p3y;			
		double s1, s2, s3;					
		boolean right;						
		
		Scanner in=new Scanner(System.in);			
		System.out.print("Input p1x: ");
		p1x=in.nextInt();
		System.out.print("Input p1y: ");
		p1y=in.nextInt();		
			
		System.out.print("Input p2x: ");
		p2x=in.nextInt();			
		System.out.print("Input p2y: ");
		p2y=in.nextInt();			

		System.out.print("Input p3x: ");
		p3x=in.nextInt();			
		System.out.print("Input p3y: ");
		p3y=in.nextInt();			
			
		s1=computeSide(p1x,p1y,p2x,p2y);			
		s2=computeSide(p2x,p2y,p3x,p3y);
		s3=computeSide(p3x,p3y,p1x,p1y);
		
		right=computePythagorean(s1,s2,s3);			
		if(right)
			System.out.println("the triangle formed out of these points is a right triangle");
		else System.out.println("the triangle formed out of these points is a not right triangle");
		
		System.exit(0);								
	}
	
	public static double computeSide(int x1, int y1, int x2, int y2)	
	{
		return Math.sqrt(Math.pow((x1-x2),2)+Math.pow((y1-y2),2));
	}
	
	public static boolean computePythagorean(double s1, double s2, double s3)	
	{
		if(s1>s2&&s1>s3) return (s1==Math.sqrt(s2*s2+s3*s3));
		else if (s2>s1&&s2>s3) return (s2==Math.sqrt(s1*s1+s3*s3));
		else return (s3==Math.sqrt(s1*s1+s2*s2));
	}
}