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#include <iostream>
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#include <cmath>
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using namespace std;
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void printArea(double coord[]);
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int main()
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{
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	cout << "Enter the coordinates of six points: \n";
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	double coord[12];
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	cin >> coord[12];
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	cout << "The total area is "; 
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	printArea(coord);
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	return 0;
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}
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	void printArea(double coord[])
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	{
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		double D[9];
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		D[0] = sqrt(pow(coord[0] - coord[2], 2) + pow(coord[1] - coord[3], 2));
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		D[1] = sqrt(pow(coord[2] - coord[4], 2) + pow(coord[3] - coord[5], 2));
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		D[2] = sqrt(pow(coord[0] - coord[4], 2) + pow(coord[1] - coord[5], 2));
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		D[3] = sqrt(pow(coord[4] - coord[6], 2) + pow(coord[5] - coord[7], 2));
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		D[4] = sqrt(pow(coord[0] - coord[6], 2) + pow(coord[1] - coord[7], 2));
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		D[5] = sqrt(pow(coord[6] - coord[8], 2) + pow(coord[7] - coord[9], 2));
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		D[6] = sqrt(pow(coord[0] - coord[8], 2) + pow(coord[1] - coord[9], 2));
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		D[7] = sqrt(pow(coord[8] - coord[10], 2) + pow(coord[9] - coord[11], 2));
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		D[8] = sqrt(pow(coord[0] - coord[10], 2) + pow(coord[1] - coord[11], 2));
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/* Can you figure out a way to do this in a loop? */
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		double S[4];
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		S[0] = (D[0] + D[1] + D[2]) / 2;
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		S[1] = (D[2] + D[3] + D[4]) / 2;
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		S[2] = (D[4] + D[5] + D[6]) / 2;
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		S[3] = (D[6] + D[7] + D[8]) / 2;
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/* Can you figure out a way to do this in a loop? */
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		double A[4];
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		A[0] = sqrt(S[0] * (S[0] - D[0]) * (S[0] - D[1]) * (S[0] - D[2]));
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		A[1] = sqrt(S[1] * (S[1] - D[2]) * (S[1] - D[3]) * (S[1] - D[4]));
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		A[2] = sqrt(S[2] * (S[2] - D[4]) * (S[2] - D[5]) * (S[2] - D[6]));
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		A[3] = sqrt(S[3] * (S[3] - D[6]) * (S[3] - D[7]) * (S[3] - D[8]));
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/* Can you figure out a way to do this in a loop? */
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		double TotalArea = 0;
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		for (int i = 0; i < 4; i++)
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		{
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			TotalArea += A[i];
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		}
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		cout << TotalArea << endl;
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	}