public class Triangle extends Polygon{
	//constructor
	/**
	 * constructor #1
	 * @param p1
	 * @param p2
	 * @param p3
	 * set a new array with the vertex
	 */
	public Triangle(Point p1,Point p2,Point p3){
		super(new Point[] {p1,p2,p3});
	}
	/**
	 * constructor #2
	 * @param t
	 * copy the points(deep copy)
	 */
	public Triangle(Triangle t){
		super(t.getPoints());
	}
	//behavior
	/**
	 *
	 * @return the first point
	 */
	public Point getP1(){
		return getPoints()[0];
	}
	/**
	 *
	 * @return the second point
	 */
	public Point getP2(){
		return getPoints()[1];
	}
	/**
	 *
	 * @return the third point
	 */
	public Point getP3(){
		return getPoints()[2];
	}
	/**
	 * @param o
	 * return true if two Triangles are equal(logic)
	 */
	public boolean equals(Object o){
		if(o instanceof Triangle){
			Triangle otherO=(Triangle)o;
			boolean check=false;
			for(int i=0;i<3;i++){
				for(int j=0;j<3 && !check;j++){
					if(getPoints()[i].equals(otherO.getPoints()[j])){
						check=true;
					}
				}
				if(!check) return false;
			}
			return true;
		}
		else
			return false;
	}
	public double getArea(){
		double D=getPerimeter()/2;
		return Math.sqrt(D*(D-getSides()[0]))*(D-getSides()[1])*(D-getSides()[2]);
	}
	public boolean contains(Point p){
		Triangle t1=new Triangle(p,getPoints()[0],getPoints()[1]);
		Triangle t2=new Triangle(p,getPoints()[0],getPoints()[2]);
		Triangle t3=new Triangle(p,getPoints()[1],getPoints()[2]);
		double newArea=t1.getArea()+t2.getArea()+t3.getArea();
		return(getArea()-newArea<=Math.abs(0.001));
	}


}