#include<iostream>
#include<cmath>
#include "triangle.h"
using namespace std;

double Triangle::area()
{
	// fabs(x1*(y2-y3) + x2*(y3 - y1) + x3(y1-y2))/2
	double x1 = vertices[0].getX();
	double y1 = vertices[0].getY();
	double x2 = vertices[1].getX();
	double y2 = vertices[1].getY();
	double x3 = vertices[2].getX();
	double y3 = vertices[2].getY();
	
	return fabs(x1*(y2-y3) + x2*(y3 - y1) + x3*(y1-y2))/2;
}	

void Triangle::print()
{
	cout<<"Name: "<<name<<"\nColor: "<<color<<endl;
	cout<<"The points are: "<<endl;
	vertices[0].print();
	vertices[1].print();
	vertices[2].print();
	cout<<"The area is: "<<area()<<endl;
}