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#include <iostream>
#include <cmath>
using namespace std;
int main()
{
cout.setf(ios::fixed);
cout.setf(ios::showpoint);
cout.precision(3);
double x1, y1, x2, y2, x3, y3, area, distance1, distance2, distance3, s;
//Precondition: declares all variables used in the entire program
//receives values for each point through the user and uses these values to calculate the shortest length from the triangle
//Postcondition: the shortest length of the triangle is shown on the screen but if the shortest distance is zero
//then the length of the second shortest side is displayed on the screen
cout << "Enter value for x1: "; //asks user to enter value for x1
cin >> x1; //user enters value for x1
cout << "Enter value for y1: "; //asks user to enter value for y1
cin >> y1; //user enters value for y1
cout << "Enter value for x2: "; //asks user to enter value for x2
cin >> x2; //user enters value for x2
cout << "Enter value for y2: "; //asks user to enter value for y2
cin >> y2; //user enters value for y2
cout << "Enter value for x3: "; //asks user to enter value for x3
cin >> x3; //user enters value for x3
cout << "Enter the value for y3: "; //asks user to enter value for y3
cin >> y3; //user enters value for y3
distance1 = sqrt((x2 - x1)*(x2 - x1) + (y2 - y1)*(y2 - y1)); //calculates distance from point (x1,y1) to (x2,y2)
distance2 = sqrt((x3 - x2)*(x3 - x2) + (y3 - y2)*(y3 - y2)); //calculates distance from point (x2,y2) to (x3,y3)
distance3 = sqrt((x3 - x1)*(x3 - x1) + (y3 - y1)*(y3 - y1)); //calculates distance from point (x1,y1) to (x3,y3)
if (distance1 == 0 && distance2 == 0 && distance3 == 0) //if all three lengths have a distance of zero
cout << "All the points are the same. Please enter a new set of points.\n"; //then it outputs a message letting the user know that they are all the same and asks user to enter new points
else if (distance1 == 0 || distance2 == 0 || distance3 == 0) //if either one of the distances are the same
{
cout << "At least 2 of the points are the same\n"; //then it displays a message to the user notifying that atleast two of the points are the same
if (distance1 == 0) //if distance1 is equal to zero, then it looks at the other two
{
if (distance2 < distance3) //if distance2 is less than distance3
cout << "The second shortest distance is " << distance2 << endl; //then it outputs a message on the screen stating that distance2 is the second shortest
else //if distance3 is less than distance2
cout << "The second shortest distance is " << distance3 << endl; //then it outputs a message on the screen stating that distance3 is the second shortest
}
if (distance2 == 0) //if distance2 is equal to zero, then it looks at the other two
{
if (distance1 < distance3) //if distance1 is less than distance3
cout << "The second shortest distance is " << distance1 << endl; //then it outputs a message on the screen stating that distance1 is the second shortest
else //if distance3 is less than distance1
cout << "The second shortest distance is " << distance2 << endl; //then it outputs a message on the screen stating that distance3 is the second shortest
}
if (distance3 == 0) //if distance3 is equal to zero, then it looks at the other two
{
if (distance1 < distance2) //if distance1 is less than distance2
cout << "The second shortest distance is " << distance1 << endl; //thenit outputs a message on the screen stating that distance1 is the second shortest
else //if distance2 is less than distance1
cout << "The second shortest distance is " << distance2 << endl; //then it outputs a message on the screen stating that distance2 is the second shortest
}
}
else if (distance1 == distance2 == distance3)
cout << "All of the distances are the same. " << "They all have a distance of " << distance1 << endl;
else if (distance1 < distance3 && distance2 < distance3 && (distance1 == distance2)) //if two distances are less than distance3
cout << "Two of the distances are the same. " << "The shortest distance is " << distance1 << endl; //then it outputs a message on the screen stating that the two distances are the same and then displays the length of them
else if (distance1 < distance2 && distance3 < distance2 && (distance1 == distance3)) //if two distances are less than distance2
cout << "Two of the distances are the same. " << "The shortest distance is " << distance1 << endl; //then it outputs a message on the screen stating that these two distances are the same and then displays the length of them
else if (distance2 < distance1 && distance3 < distance1 && (distance2 == distance3)) //if two distances are less than distance1
cout << "Two of the distances are the same. " << "The shortest distance is " << distance2 << endl; //then it outputs a message on the screen stating that these two distances are the same and then displays the length of them
else if (distance1 < distance2 && distance1 < distance3) //if distance1 is less than the other two
cout << "The shortest distance from any combination of lines is: " << distance1 << endl; //then it outputs a message on the screen stating that distance1 is the shortest
else if (distance2 < distance1 && distance2 < distance3) //if distance2 is less than the other two
cout << "The shortest distance from any combination of lines is: " << distance2 << endl; //then it outputs a message on the screen stating that distance2 is the shortest
else //if distance3 is less than the other two
cout << "The shortest distance from any combination of lines is: " << distance3 << endl; //then it outputs a message on the screen stating that distance3 is the shortest
system("pause"); //prevents the program from closing when the user enters a command
return 0; //returns a value
}
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