#include<iostream>
#include<cmath>
using namespace std;

class Point
{
	private:
	double x,y;

	public:
	Point(); //default constructor
	Point( double, double); //parameterized constructor

	//accessors
	double getX();
	double getY();
	
	//mutators
	void setX(double xval);
	void setY(double);

	//member functions
	void print();
	double distance(Point);
	double distanceFromOrigin();
};

Point::Point() //default constructor
{
	x=0;
	y=0;
}
Point::Point( double xval, double yval) //parameterized constructor
{
	x =xval;
	y = yval;
}

	//accessors
double Point::getX()
{
	return x;
}
double Point::getY()
{
	return y;
}
	
	//mutators
void Point::setX(double xval)
{
	x = xval;
}

void Point::setY(double yval)
{
	y = yval;
}

	//member functions
void Point::print()
{
	cout<<"The point is ("<<x<<","<<y<<")"<<endl;
}
double Point::distance(Point k)
{
	return sqrt(pow(x - k.getX(),2) + pow(y - k.getY(),2));
}
double Point::distanceFromOrigin()
{
	Point z;
	return distance(z);
}


class Triangle
{
	private:
	string name, color;
	Point vertices[3];

	public:
	Triangle()
	{
		name="MyTriangle";
		color="lilac";
	}
	Triangle(string name, string color, double x1,
		double y1, double x2, double y2, double x3, double y3):
		vertices({{x1,y1},{x2,y2},{x3,y3}})
	{
		this->name = name;
		this->color = color;
	}
	
	double 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 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;
	}

};

int main()
{
	Triangle tri[3]({{"dorrito","orange", 1.0,2.0, 4,6, 8,19},
			 {"Bermuda", "blue", 2800,3700, 5,5, -60, -120},
			 {"triangle", "silver", 2, 1.5, 5.76, 12, 19, 4} });
	for(int i=0; i< 3; i++)
	{	tri[i].print();
		cout<<endl<<endl;
	}

	return 0;
}