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

Trapezoid::Trapezoid():Quadrilateral()
{
	a = Point(1,1);
	b = Point(6,1);
	c = Point(5,4);
	d = Point(2,4);
}

Trapezoid::Trapezoid(Point &p1, Point &p2, Point &p3, Point &p4):
			Quadrilateral(p1,p2,p3,p4)
{
	validate();
}

void Trapezoid::SetAll(Point &p1, Point &p2, Point &p3, Point &p4)
{
	Quadrilateral::SetAll(p1,p2,p3,p4);
	validate();
}

double Trapezoid::Perimeter()
{
	double side1 = a.Distance(b);
	double side2 = b.Distance(c);
	double side3 = c.Distance(d);
	double side4 = d.Distance(a);
	return(side1 + side2 + side3 + side4);
}

double Trapezoid::Area()
{
	double side1 = a.Distance(b);
	double side2 = b.Distance(c);
	double side3 = c.Distance(d);
	double side4 = d.Distance(a);
	double shortLeg = (side1 - side3)/2;
	double height = sqrt((side2 * side2) - (shortLeg * shortLeg));
	return((height * (side1 + side3))/2);
}

void Trapezoid::Print()
{
	cout << "I'm a Trapezoid" << endl;
	Quadrilateral::Print();
}